57275400 has 192 divisors, whose sum is σ = 218736000. Its totient is φ = 12072960.

The previous prime is 57275399. The next prime is 57275411. The reversal of 57275400 is 457275.

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 47 ways as a sum of consecutive naturals, for example, 54076 + ... + 55124.

It is an arithmetic number, because the mean of its divisors is an integer number (1139250).

Almost surely, 2^57275400 is an apocalyptic number.

57275400 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 57275400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109368000).

57275400 is an abundant number, since it is smaller than the sum of its proper divisors (161460600).

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

57275400 is a wasteful number, since it uses less digits than its factorization.

57275400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 57275400 is about 7568.0512683253. The cubic root of 57275400 is about 385.4689288110.

It can be divided in two parts, 57275 and 400, that added together give a palindrome (57675).

The spelling of 57275400 in words is "fifty-seven million, two hundred seventy-five thousand, four hundred".