456725404600 has 96 divisors (see below), whose sum is σ = 1085185900800. Its totient is φ = 178686742400.

The previous prime is 456725404589. The next prime is 456725404613. The reversal of 456725404600 is 6404527654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15203595 + ... + 15233605.

It is an arithmetic number, because the mean of its divisors is an integer number (11304019800).

Almost surely, 2^456725404600 is an apocalyptic number.

456725404600 is a gapful number since it is divisible by the number (40) 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 456725404600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542592950400).

456725404600 is an abundant number, since it is smaller than the sum of its proper divisors (628460496200).

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

456725404600 is a wasteful number, since it uses less digits than its factorization.

456725404600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31693 (or 31684 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 43.

The spelling of 456725404600 in words is "four hundred fifty-six billion, seven hundred twenty-five million, four hundred four thousand, six hundred".