57957440 has 56 divisors (see below), whose sum is σ = 139110720. Its totient is φ = 22998528.

The previous prime is 57957409. The next prime is 57957463. The reversal of 57957440 is 4475975.

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 7 ways as a sum of consecutive naturals, for example, 43829 + ... + 45131.

It is an arithmetic number, because the mean of its divisors is an integer number (2484120).

Almost surely, 2^57957440 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 57957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69555360).

57957440 is an abundant number, since it is smaller than the sum of its proper divisors (81153280).

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

57957440 is a wasteful number, since it uses less digits than its factorization.

57957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 57957440 is about 7612.9783921932. The cubic root of 57957440 is about 386.9929601419.

The spelling of 57957440 in words is "fifty-seven million, nine hundred fifty-seven thousand, four hundred forty".