56858400 has 216 divisors, whose sum is σ = 205650900. Its totient is φ = 14776320.

The previous prime is 56858377. The next prime is 56858413. The reversal of 56858400 is 485865.

It is a happy number.

56858400 is a `hidden beast` number, since 568 + 58 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15023376 + 41835024 = 3876^2 + 6468^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 381526 + ... + 381674.

Almost surely, 2^56858400 is an apocalyptic number.

56858400 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 56858400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102825450).

56858400 is an abundant number, since it is smaller than the sum of its proper divisors (148792500).

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

56858400 is a wasteful number, since it uses less digits than its factorization.

56858400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 56858400 is about 7540.4509148989. The cubic root of 56858400 is about 384.5311659704.

The spelling of 56858400 in words is "fifty-six million, eight hundred fifty-eight thousand, four hundred".