744928400 has 60 divisors (see below), whose sum is σ = 1838097012. Its totient is φ = 289912320.

The previous prime is 744928397. The next prime is 744928411. The reversal of 744928400 is 4829447.

It can be written as a sum of positive squares in 6 ways, for example, as 42042256 + 702886144 = 6484^2 + 26512^2 .

It is a super-2 number, since 2×744928400² = 1109836642253120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10367 + ... + 39966.

Almost surely, 2^744928400 is an apocalyptic number.

It is an amenable number.

744928400 is an abundant number, since it is smaller than the sum of its proper divisors (1093168612).

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

744928400 is a wasteful number, since it uses less digits than its factorization.

744928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50388 (or 50377 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 744928400 is about 27293.3764858802. The cubic root of 744928400 is about 906.5077275701.

The spelling of 744928400 in words is "seven hundred forty-four million, nine hundred twenty-eight thousand, four hundred".