57505416 has 32 divisors (see below), whose sum is σ = 144050400. Its totient is φ = 19130240.

The previous prime is 57505397. The next prime is 57505417. The reversal of 57505416 is 61450575.

It is a super-3 number, since 3×57505416³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (57505417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11551 + ... + 15761.

It is an arithmetic number, because the mean of its divisors is an integer number (4501575).

Almost surely, 2^57505416 is an apocalyptic number.

It is an amenable number.

57505416 is an abundant number, since it is smaller than the sum of its proper divisors (86544984).

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

57505416 is a wasteful number, since it uses less digits than its factorization.

57505416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 57505416 is about 7583.2325561069. The cubic root of 57505416 is about 385.9842494938.

The spelling of 57505416 in words is "fifty-seven million, five hundred five thousand, four hundred sixteen".