56390400 has 324 divisors, whose sum is σ = 222407640. Its totient is φ = 13516800.

The previous prime is 56390353. The next prime is 56390407. The reversal of 56390400 is 409365.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (56390407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 633556 + ... + 633644.

Almost surely, 2^56390400 is an apocalyptic number.

56390400 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 56390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111203820).

56390400 is an abundant number, since it is smaller than the sum of its proper divisors (166017240).

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

56390400 is a wasteful number, since it uses less digits than its factorization.

56390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 56390400 is about 7509.3541666378. The cubic root of 56390400 is about 383.4732360589.

Adding to 56390400 its reverse (409365), we get a palindrome (56799765).

The spelling of 56390400 in words is "fifty-six million, three hundred ninety thousand, four hundred".