56726400 has 192 divisors, whose sum is σ = 197308800. Its totient is φ = 14284800.

The previous prime is 56726389. The next prime is 56726429. The reversal of 56726400 is 462765.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 182245 + ... + 182555.

It is an arithmetic number, because the mean of its divisors is an integer number (1027650).

Almost surely, 2^56726400 is an apocalyptic number.

56726400 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 56726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98654400).

56726400 is an abundant number, since it is smaller than the sum of its proper divisors (140582400).

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

56726400 is a wasteful number, since it uses less digits than its factorization.

56726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 56726400 is about 7531.6930367614. The cubic root of 56726400 is about 384.2333650947.

The spelling of 56726400 in words is "fifty-six million, seven hundred twenty-six thousand, four hundred".