57049200 has 360 divisors, whose sum is σ = 226672992. Its totient is φ = 13178880.

The previous prime is 57049199. The next prime is 57049219. The reversal of 57049200 is 294075.

57049200 is a `hidden beast` number, since 570 + 4 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×57049200² = 6509222441280000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1076374 + ... + 1076426.

Almost surely, 2^57049200 is an apocalyptic number.

57049200 is a gapful number since it is divisible by the number (50) 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 57049200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113336496).

57049200 is an abundant number, since it is smaller than the sum of its proper divisors (169623792).

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

57049200 is a wasteful number, since it uses less digits than its factorization.

57049200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 57049200 is about 7553.0920820549. The cubic root of 57049200 is about 384.9608100886.

It can be divided in two parts, 570 and 49200, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 57049200 in words is "fifty-seven million, forty-nine thousand, two hundred".