57950400 has 84 divisors (see below), whose sum is σ = 190141352. Its totient is φ = 15452160.

The previous prime is 57950383. The next prime is 57950411. The reversal of 57950400 is 405975.

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 11 ways as a sum of consecutive naturals, for example, 1237 + ... + 10836.

Almost surely, 2^57950400 is an apocalyptic number.

57950400 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 57950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95070676).

57950400 is an abundant number, since it is smaller than the sum of its proper divisors (132190952).

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

57950400 is a wasteful number, since it uses less digits than its factorization.

57950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12098 (or 12083 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 57950400 is about 7612.5160098354. The cubic root of 57950400 is about 386.9772903633.

The spelling of 57950400 in words is "fifty-seven million, nine hundred fifty thousand, four hundred".