57452160 has 128 divisors (see below), whose sum is σ = 191237760. Its totient is φ = 14643200.

The previous prime is 57452149. The next prime is 57452167. The reversal of 57452160 is 6125475.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (57452167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43510 + ... + 44810.

It is an arithmetic number, because the mean of its divisors is an integer number (1494045).

Almost surely, 2^57452160 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 57452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618880).

57452160 is an abundant number, since it is smaller than the sum of its proper divisors (133785600).

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

57452160 is a wasteful number, since it uses less digits than its factorization.

57452160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 57452160 is about 7579.7203114627. The cubic root of 57452160 is about 385.8650588300.

The spelling of 57452160 in words is "fifty-seven million, four hundred fifty-two thousand, one hundred sixty".