56092400 has 240 divisors, whose sum is σ = 175655424. Its totient is φ = 16727040.

The previous prime is 56092369. The next prime is 56092441. The reversal of 56092400 is 429065.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 56092400.

It is a congruent number.

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, 837167 + ... + 837233.

Almost surely, 2^56092400 is an apocalyptic number.

56092400 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 56092400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87827712).

56092400 is an abundant number, since it is smaller than the sum of its proper divisors (119563024).

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

56092400 is a wasteful number, since it uses less digits than its factorization.

56092400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 56092400 is about 7489.4859636693. The cubic root of 56092400 is about 382.7965433582.

The spelling of 56092400 in words is "fifty-six million, ninety-two thousand, four hundred".