56412200 has 72 divisors (see below), whose sum is σ = 142108650. Its totient is φ = 20816640.

The previous prime is 56412179. The next prime is 56412211. The reversal of 56412200 is 221465.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 850084 + 55562116 = 922^2 + 7454^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 32966 + ... + 34634.

Almost surely, 2^56412200 is an apocalyptic number.

56412200 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 56412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71054325).

56412200 is an abundant number, since it is smaller than the sum of its proper divisors (85696450).

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

56412200 is a wasteful number, since it uses less digits than its factorization.

56412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 56412200 is about 7510.8055493402. The cubic root of 56412200 is about 383.5226454118.

Adding to 56412200 its reverse (221465), we get a palindrome (56633665).

The spelling of 56412200 in words is "fifty-six million, four hundred twelve thousand, two hundred".