57403920 has 160 divisors (see below), whose sum is σ = 207986688. Its totient is φ = 12824064.

The previous prime is 57403919. The next prime is 57403943. The reversal of 57403920 is 2930475.

57403920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 78597 + ... + 79323.

Almost surely, 2^57403920 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 57403920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103993344).

57403920 is an abundant number, since it is smaller than the sum of its proper divisors (150582768).

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

57403920 is a wasteful number, since it uses less digits than its factorization.

57403920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 57403920 is about 7576.5374677355. The cubic root of 57403920 is about 385.7570307321.

The spelling of 57403920 in words is "fifty-seven million, four hundred three thousand, nine hundred twenty".