57120480 has 72 divisors (see below), whose sum is σ = 194928552. Its totient is φ = 15231744.

The previous prime is 57120439. The next prime is 57120509. The reversal of 57120480 is 8402175.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18394 + ... + 21273.

It is an arithmetic number, because the mean of its divisors is an integer number (2707341).

Almost surely, 2^57120480 is an apocalyptic number.

It is an amenable number.

57120480 is an abundant number, since it is smaller than the sum of its proper divisors (137808072).

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

57120480 is a wasteful number, since it uses less digits than its factorization.

57120480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39688 (or 39677 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 57120480 is about 7557.8092063772. The cubic root of 57120480 is about 385.1210728453.

It can be divided in two parts, 57120 and 480, that added together give a square (57600 = 240²).

The spelling of 57120480 in words is "fifty-seven million, one hundred twenty thousand, four hundred eighty".