Visible crew/equipment: As Henry is walking down the stairs to the bank vault, the camera's shadow is visible on the side of the staircase. (00:09:45)
Other mistake: If the crystal cracked on his pocket watch, why didn't his glasses crack, too?
Other mistake: Bemis is happy because he has enough time to read all he wants, but all the food would be poisoned by the radiation and and even if it wasn't, meat and fish it would spoil from not being refrigerated.
Continuity mistake: In the vault, the book Mr. Bemis puts down flips open a moment before the atomic blast. After the explosion, the book is closed again.