Generally none. But it can have four when it becomes a square.
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A rhombus has 1 face, 4 equal sides and 4 vertices
A square prism has 8 vertices.
A square pyramid has 5 vertices.
a square a rectangle a trapazoid a rhombus ---- The general name for these shapes is "quadrilateral".
Only a square and a rhombus will have all its diagonals bisecting vertices. In other shapes some - but not all - diagonals can bisect vertices.