56038400 has 132 divisors (see below), whose sum is σ = 152296800. Its totient is φ = 20275200.

The previous prime is 56038399. The next prime is 56038441. The reversal of 56038400 is 483065.

It is a self number, because there is not a number n which added to its sum of digits gives 56038400.

It is a congruent number.

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, 281501 + ... + 281699.

Almost surely, 2^56038400 is an apocalyptic number.

56038400 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 56038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76148400).

56038400 is an abundant number, since it is smaller than the sum of its proper divisors (96258400).

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

56038400 is a wasteful number, since it uses less digits than its factorization.

56038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 56038400 is about 7485.8800417853. The cubic root of 56038400 is about 382.6736648566.

The spelling of 56038400 in words is "fifty-six million, thirty-eight thousand, four hundred".