57253800 has 96 divisors (see below), whose sum is σ = 182354400. Its totient is φ = 14849280.

The previous prime is 57253793. The next prime is 57253811. The reversal of 57253800 is 835275.

It is a happy number.

It is a super-2 number, since 2×57253800² = 6555995228880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20911 + ... + 23489.

It is an arithmetic number, because the mean of its divisors is an integer number (1899525).

Almost surely, 2^57253800 is an apocalyptic number.

57253800 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 57253800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91177200).

57253800 is an abundant number, since it is smaller than the sum of its proper divisors (125100600).

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

57253800 is a wasteful number, since it uses less digits than its factorization.

57253800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 57253800 is about 7566.6240821122. The cubic root of 57253800 is about 385.4204660286.

The spelling of 57253800 in words is "fifty-seven million, two hundred fifty-three thousand, eight hundred".