About 500,000 men were maintained in Vietnam during it's height. Rotations from the US maintained that level, allowing for 1 year rotations (one year tours, at least for the US Army). The half of a million men consisted of marines, soldiers, airmen, sailors, and Coast Guardsmen.
Just based on memory, I recall that 500,000 military personnel were assigned to VN. It could have been more at another stage.