ATP- and membrane-binding protein that probably controls membrane reorganization/tubulation upon ATP hydrolysis. Plays a role in early endosomal transport. Homooligomer, and heterooligomer with EHD1, EHD2 and EHD3. Highly expressed in pancreas and heart. The EH domain interacts with Asn-Pro-Phe (NPF) motifs of target proteins. Belongs to the TRAFAC class dynamin-like GTPase superfamily. Dynamin/Fzo/YdjA family. EHD subfamily.