56802400 has 144 divisors (see below), whose sum is σ = 151396560. Its totient is φ = 20736000.

The previous prime is 56802391. The next prime is 56802439. The reversal of 56802400 is 420865.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562350 + ... + 562450.

It is an arithmetic number, because the mean of its divisors is an integer number (1051365).

Almost surely, 2^56802400 is an apocalyptic number.

56802400 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 56802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75698280).

56802400 is an abundant number, since it is smaller than the sum of its proper divisors (94594160).

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

56802400 is a wasteful number, since it uses less digits than its factorization.

56802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 164 counting only the distinct ones).

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

The square root of 56802400 is about 7536.7366943525. The cubic root of 56802400 is about 384.4048825557.

The spelling of 56802400 in words is "fifty-six million, eight hundred two thousand, four hundred".