57320460 has 120 divisors (see below), whose sum is σ = 184415616. Its totient is φ = 14895360.

The previous prime is 57320423. The next prime is 57320467. The reversal of 57320460 is 6402375.

It is a happy number.

It is a super-2 number, since 2×57320460² = 6571270269223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57320467) 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 39 ways as a sum of consecutive naturals, for example, 65989 + ... + 66851.

Almost surely, 2^57320460 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 57320460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92207808).

57320460 is an abundant number, since it is smaller than the sum of its proper divisors (127095156).

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

57320460 is a wasteful number, since it uses less digits than its factorization.

57320460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 914 counting only the distinct ones).

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

The square root of 57320460 is about 7571.0276713271. The cubic root of 57320460 is about 385.5699883525.

The spelling of 57320460 in words is "fifty-seven million, three hundred twenty thousand, four hundred sixty".