An axial flow pump (10) is presented which includes a housing (1) with an inlet (2) and outlet (3) and a magnetically active rotor (5) in the housing which is provided with a passage (6) in the interior and with at least one spiral-shaped vane (7) in the passage, wherein the pitch of the vane (7) varies in the axial direction. The axial flow pump (10) furthermore includes an electromagnetic drive (4, 8) with a stator (8) which is arranged at the housing and cooperates with a magnetically active rotor.