56820400 has 180 divisors, whose sum is σ = 171780672. Its totient is φ = 17902080.

The previous prime is 56820397. The next prime is 56820437. The reversal of 56820400 is 402865.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 254689 + ... + 254911.

Almost surely, 2^56820400 is an apocalyptic number.

56820400 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 56820400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85890336).

56820400 is an abundant number, since it is smaller than the sum of its proper divisors (114960272).

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

56820400 is a wasteful number, since it uses less digits than its factorization.

56820400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 56820400 is about 7537.9307505442. The cubic root of 56820400 is about 384.4454827013.

The spelling of 56820400 in words is "fifty-six million, eight hundred twenty thousand, four hundred".