HP 905753-001 function board is a replacement service component listed for HP ProBook 450 G4 and ProBook 455 G4 computers. It is identified in HP’s service guide as the Function board, a separate part from the power button board.
The board is listed as part 905753-001 in the computers’ parts catalog. HP lists the function board cable separately as part of Cable Kit 906000-001, so this board reference does not itself confirm that the cable is included.