57460832 has 96 divisors (see below), whose sum is σ = 137803680. Its totient is φ = 23224320.

The previous prime is 57460811. The next prime is 57460903. The reversal of 57460832 is 23806475.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 57460792 and 57460801.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 132488 + ... + 132920.

It is an arithmetic number, because the mean of its divisors is an integer number (1435455).

Almost surely, 2^57460832 is an apocalyptic number.

57460832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57460832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68901840).

57460832 is an abundant number, since it is smaller than the sum of its proper divisors (80342848).

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

57460832 is a wasteful number, since it uses less digits than its factorization.

57460832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 57460832 is about 7580.2923426475. The cubic root of 57460832 is about 385.8844723933.

The spelling of 57460832 in words is "fifty-seven million, four hundred sixty thousand, eight hundred thirty-two".