744057504 has 144 divisors (see below), whose sum is σ = 2205186984. Its totient is φ = 237772800.

The previous prime is 744057491. The next prime is 744057539. The reversal of 744057504 is 405750447.

It can be written as a sum of positive squares in 4 ways, for example, as 451647504 + 292410000 = 21252^2 + 17100^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 719772 + ... + 720804.

Almost surely, 2^744057504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744057504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102593492).

744057504 is an abundant number, since it is smaller than the sum of its proper divisors (1461129480).

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

744057504 is a wasteful number, since it uses less digits than its factorization.

744057504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 744057504 is about 27277.4174730674. The cubic root of 744057504 is about 906.1543236672.

The spelling of 744057504 in words is "seven hundred forty-four million, fifty-seven thousand, five hundred four".