57000416 has 48 divisors (see below), whose sum is σ = 123959808. Its totient is φ = 25584000.

The previous prime is 57000407. The next prime is 57000443. The reversal of 57000416 is 61400075.

It is a junction number, because it is equal to n+sod(n) for n = 57000391 and 57000400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28241 + ... + 30191.

It is an arithmetic number, because the mean of its divisors is an integer number (2582496).

Almost surely, 2^57000416 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 57000416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61979904).

57000416 is an abundant number, since it is smaller than the sum of its proper divisors (66959392).

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

57000416 is a wasteful number, since it uses less digits than its factorization.

57000416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 57000416 is about 7549.8619854935. The cubic root of 57000416 is about 384.8510493690.

The spelling of 57000416 in words is "fifty-seven million, four hundred sixteen", and thus it is an aban number.