Factual error: In the movie, Houdini's death is caused by failing to escape from a Chinese Water Torture Cell following an injury with a prop sword. In reality, Houdini died of a burst appendix after being punched in the stomach.
Factual error: In the film, Houdini's family name is Schwartz. In reality, it was Weisz.
Other mistake: Bess objects to Harry recreating Von Schweger's water torture cell escape because "it killed him." There are good reasons for Bess to object, but this isn't one of them: as Bess and Harry both know, Von Schweger survived, lived a long life, and died of natural causes.
Continuity mistake: Houdini's grey on his temples changes dramatically between shots. For example, when he finally goes to Von Schweger's home, when he knocks on the door his temples are mostly white. Then when he enters the home, he has almost no white on his temples. Then in the following scene his temples are mostly white again.
Continuity mistake: Just after Houdini returns to the United States from his European tour, he stages a publicity stunt. The lady in the apartment opens her window shade and sees Houdini hanging upside down, directly outside the window. When it cuts to an outside shot, he is now suspended above the roof line, where the woman would not be able to see him.