56918400 has 432 divisors, whose sum is σ = 239711220. Its totient is φ = 11827200.

The previous prime is 56918371. The next prime is 56918419. The reversal of 56918400 is 481965.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5174395 + ... + 5174405.

Almost surely, 2^56918400 is an apocalyptic number.

56918400 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 56918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119855610).

56918400 is an abundant number, since it is smaller than the sum of its proper divisors (182792820).

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

56918400 is a wasteful number, since it uses less digits than its factorization.

56918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 56918400 is about 7544.4284077722. The cubic root of 56918400 is about 384.6663776492. Note that the first 3 decimals are identical.

The spelling of 56918400 in words is "fifty-six million, nine hundred eighteen thousand, four hundred".