56435600 has 60 divisors (see below), whose sum is σ = 146029716. Its totient is φ = 20835840.

The previous prime is 56435591. The next prime is 56435611. The reversal of 56435600 is 653465.

It can be written as a sum of positive squares in 6 ways, for example, as 5513104 + 50922496 = 2348^2 + 7136^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227 + ... + 10626.

Almost surely, 2^56435600 is an apocalyptic number.

56435600 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 56435600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73014858).

56435600 is an abundant number, since it is smaller than the sum of its proper divisors (89594116).

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

56435600 is a wasteful number, since it uses less digits than its factorization.

56435600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10884 (or 10873 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 56435600 is about 7512.3631435122. The cubic root of 56435600 is about 383.5756669764.

The spelling of 56435600 in words is "fifty-six million, four hundred thirty-five thousand, six hundred".