Many washing machines and dishwashers use an electric pump to move waste water through a discharge route. Its impeller transfers energy to the water; a clear route and the correct installation also matter.
A no-drain symptom can involve a restriction, hose arrangement, pump, sensing or control. A hum does not prove that an impeller is rotating or delivering flow. Use the observations and exact manual to identify a permitted next check, with Safety First: Isolation as the starting boundary.