Mathematical fact: 1749 is the number of digits in the 4^{th} Cullen prime.
Trivia: 1749 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Historical date: October 14th is the day in 1940 that Balham subway station disaster, in London, England, occurs during the Nazi Luftwaffe air raids on Great Britain.