57133440 has 384 divisors, whose sum is σ = 245044800. Its totient is φ = 11943936.

The previous prime is 57133429. The next prime is 57133441. The reversal of 57133440 is 4433175.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57133441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524106 + ... + 524214.

Almost surely, 2^57133440 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 57133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122522400).

57133440 is an abundant number, since it is smaller than the sum of its proper divisors (187911360).

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

57133440 is a wasteful number, since it uses less digits than its factorization.

57133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 57133440 is about 7558.6665490680. Note that the first 3 decimals coincide. The cubic root of 57133440 is about 385.1501972019.

The spelling of 57133440 in words is "fifty-seven million, one hundred thirty-three thousand, four hundred forty".