  In this paper, we investigate thermodynamics and phase transitions of a
4-dimensional rotating Kaluza-Klein black hole solution in the presence of
Maxwell electrodynamics. Calculating the conserved and thermodynamical
quantities shows that the first law of thermodynamics is satisfied. To find the
stable black hole' s criteria, we check the stability in the canonical ensemble
by analyzing the behavior of the heat capacity. We also consider a massive
scalar perturbation minimally coupled to the background geometry of the
4-dimensional static Kaluza-Klein black hole and investigate the quasinormal
modes by employing the WKB approximation. The anomalous decay rate of the
quasinormal modes spectrum is investigated by using the sixth-order WKB formula
and quasi-resonance modes of the black hole are studied with averaging of Pade
approximations as well.
