diff --git a/doc/source/conf.py b/doc/source/conf.py
index f222a228531ff..534c89cadb378 100644
--- a/doc/source/conf.py
+++ b/doc/source/conf.py
@@ -391,16 +391,23 @@
 
 
 html_context = {
-    "redirects": dict(moved_api_pages),
-    "header": header,
+    "display_version": True,
+    "versions_dropdown": True,
+    "github_url": "https://github.com/pandas-dev/pandas",
+    # Remove the following items to simplify the footer
+    # 'other_versions': [
+    #     ("stable", "/pandas-docs/stable/"),
+    #     ("dev", "/pandas-docs/dev/"),
+    # ],
+    # 'last_updated': datetime.now().strftime('%Y-%m-%d'),
+    # 'last_updated_date': datetime.now().strftime('%Y-%m-%d'),
 }
 
 # If false, no module index is generated.
 html_use_modindex = True
 
 # If false, no index is generated.
-# html_use_index = True
-
+# html
 # If true, the index is split into individual pages for each letter.
 # html_split_index = False
 
diff --git a/doc/source/whatsnew/v3.0.0.rst b/doc/source/whatsnew/v3.0.0.rst
index 016e553cf2092..470129d6d860b 100644
--- a/doc/source/whatsnew/v3.0.0.rst
+++ b/doc/source/whatsnew/v3.0.0.rst
@@ -1001,6 +1001,7 @@ Numeric
 - Bug in :meth:`Series.dot` returning ``object`` dtype for :class:`ArrowDtype` and nullable-dtype data (:issue:`61375`)
 - Bug in :meth:`Series.std` and :meth:`Series.var` when using complex-valued data (:issue:`61645`)
 - Bug in ``np.matmul`` with :class:`Index` inputs raising a ``TypeError`` (:issue:`57079`)
+- Bug in arithmetic operations between objects with numpy-nullable dtype and :class:`ArrowDtype` incorrectly raising (:issue:`58602`)
 
 Conversion
 ^^^^^^^^^^
diff --git a/pandas/core/arrays/masked.py b/pandas/core/arrays/masked.py
index 57efde1a928bc..cdba53662e6fa 100644
--- a/pandas/core/arrays/masked.py
+++ b/pandas/core/arrays/masked.py
@@ -37,7 +37,10 @@
     is_string_dtype,
     pandas_dtype,
 )
-from pandas.core.dtypes.dtypes import BaseMaskedDtype
+from pandas.core.dtypes.dtypes import (
+    ArrowDtype,
+    BaseMaskedDtype,
+)
 from pandas.core.dtypes.missing import (
     array_equivalent,
     is_valid_na_for_dtype,
@@ -767,6 +770,10 @@ def _arith_method(self, other, op):
         pd_op = ops.get_array_op(op)
         other = ensure_wrapped_if_datetimelike(other)
 
+        if isinstance(other, ExtensionArray) and isinstance(other.dtype, ArrowDtype):
+            # GH#58602
+            return NotImplemented
+
         if op_name in {"pow", "rpow"} and isinstance(other, np.bool_):
             # Avoid DeprecationWarning: In future, it will be an error
             #  for 'np.bool_' scalars to be interpreted as an index
@@ -843,7 +850,11 @@ def _cmp_method(self, other, op) -> BooleanArray:
 
         mask = None
 
-        if isinstance(other, BaseMaskedArray):
+        if isinstance(other, ExtensionArray) and isinstance(other.dtype, ArrowDtype):
+            # GH#58602
+            return NotImplemented
+
+        elif isinstance(other, BaseMaskedArray):
             other, mask = other._data, other._mask
 
         elif is_list_like(other):
diff --git a/pandas/tests/extension/test_arrow.py b/pandas/tests/extension/test_arrow.py
index 2949b7ccc7cf3..2aa1b658fdf7b 100644
--- a/pandas/tests/extension/test_arrow.py
+++ b/pandas/tests/extension/test_arrow.py
@@ -3702,6 +3702,28 @@ def test_pow_with_all_na_float():
     tm.assert_series_equal(result, expected)
 
 
+def test_mul_numpy_nullable_with_pyarrow_float():
+    # GH#58602
+    left = pd.Series(range(5), dtype="Float64")
+    right = pd.Series(range(5), dtype="float64[pyarrow]")
+
+    expected = pd.Series([0, 1, 4, 9, 16], dtype="float64[pyarrow]")
+
+    result = left * right
+    tm.assert_series_equal(result, expected)
+
+    result2 = right * left
+    tm.assert_series_equal(result2, expected)
+
+    # while we're here, let's check __eq__
+    result3 = left == right
+    expected3 = pd.Series([True] * 5, dtype="bool[pyarrow]")
+    tm.assert_series_equal(result3, expected3)
+
+    result4 = right == left
+    tm.assert_series_equal(result4, expected3)
+
+
 @pytest.mark.parametrize(
     "type_name, expected_size",
     [