56405200 has 60 divisors (see below), whose sum is σ = 141428448. Its totient is φ = 21577600.

The previous prime is 56405191. The next prime is 56405231. The reversal of 56405200 is 250465.

56405200 = 1555² + 1556² + ... + 1577².

56405200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6135 + ... + 12265.

Almost surely, 2^56405200 is an apocalyptic number.

56405200 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 56405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70714224).

56405200 is an abundant number, since it is smaller than the sum of its proper divisors (85023248).

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

56405200 is a wasteful number, since it uses less digits than its factorization.

56405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 56405200 is about 7510.3395395947. The cubic root of 56405200 is about 383.5067814109.

Adding to 56405200 its reverse (250465), we get a palindrome (56655665).

The spelling of 56405200 in words is "fifty-six million, four hundred five thousand, two hundred".