744749040 has 320 divisors, whose sum is σ = 2749824000. Its totient is φ = 166634496.

The previous prime is 744749021. The next prime is 744749059. The reversal of 744749040 is 40947447.

It is an interprime number because it is at equal distance from previous prime (744749021) and next prime (744749059).

It is a super-2 number, since 2×744749040² = 1109302265161843200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 744749040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6832506 + ... + 6832614.

It is an arithmetic number, because the mean of its divisors is an integer number (8593200).

Almost surely, 2^744749040 is an apocalyptic number.

744749040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744749040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374912000).

744749040 is an abundant number, since it is smaller than the sum of its proper divisors (2005074960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

744749040 is a wasteful number, since it uses less digits than its factorization.

744749040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 744749040 is about 27290.0905091940. The cubic root of 744749040 is about 906.4349669858.

The spelling of 744749040 in words is "seven hundred forty-four million, seven hundred forty-nine thousand, forty".