744559920 has 360 divisors, whose sum is σ = 2814261840. Its totient is φ = 176117760.

The previous prime is 744559903. The next prime is 744559943. The reversal of 744559920 is 29955447.

744559920 is a `hidden beast` number, since 7 + 4 + 4 + 559 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3528615 + ... + 3528825.

It is an arithmetic number, because the mean of its divisors is an integer number (7817394).

Almost surely, 2^744559920 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 744559920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407130920).

744559920 is an abundant number, since it is smaller than the sum of its proper divisors (2069701920).

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

744559920 is a wasteful number, since it uses less digits than its factorization.

744559920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 744559920 is about 27286.6252951881. The cubic root of 744559920 is about 906.3582344293.

The spelling of 744559920 in words is "seven hundred forty-four million, five hundred fifty-nine thousand, nine hundred twenty".