A pump having an axial impeller (40) with helical blades (38) for sucking liquid through an intake opening (38) formed at a bottom side of the axial impeller (40), in which the blades (38) are provided, at the bottom side of the axial impeller (40), with a first cutting edge (58) which, when the axial impeller (40) rotates, are in cutting relation with at least one second cutting edge (60) formed at the intake opening (36).