56363400 has 144 divisors (see below), whose sum is σ = 191433060. Its totient is φ = 14860800.

The previous prime is 56363389. The next prime is 56363407. The reversal of 56363400 is 436365.

56363400 is a `hidden beast` number, since 563 + 63 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15069924 + 41293476 = 3882^2 + 6426^2 .

It is not an unprimeable number, because it can be changed into a prime (56363407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 311310 + ... + 311490.

Almost surely, 2^56363400 is an apocalyptic number.

56363400 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 56363400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95716530).

56363400 is an abundant number, since it is smaller than the sum of its proper divisors (135069660).

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

56363400 is a wasteful number, since it uses less digits than its factorization.

56363400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 56363400 is about 7507.5561935959. The cubic root of 56363400 is about 383.4120233331.

Adding to 56363400 its reverse (436365), we get a palindrome (56799765).

The spelling of 56363400 in words is "fifty-six million, three hundred sixty-three thousand, four hundred".