Character mistake: Captain McCrea tells the passengers that it's the 700th anniversary of the Axiom's first flight. The Axiom has been in flight for 255,642 days. Actually, 700 years is 255,675 days. That figure includes the additional day in 175 leap years.
Character mistake: When Sam pushes Freddie off the plane, his mother puts on the parachute and jumps out as well. She is in such a hurry, that she doesn't buckle the straps across the front. In real life, as soon as the parachute is deployed, the resistance would cause the parachute to come off and she would likely fall to her death.