456725220 has 96 divisors (see below), whose sum is σ = 1475324928. Its totient is φ = 103408512.

The previous prime is 456725197. The next prime is 456725233. The reversal of 456725220 is 22527654.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39859 + ... + 50021.

It is an arithmetic number, because the mean of its divisors is an integer number (15367968).

Almost surely, 2^456725220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456725220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737662464).

456725220 is an abundant number, since it is smaller than the sum of its proper divisors (1018599708).

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

456725220 is a wasteful number, since it uses less digits than its factorization.

456725220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10289 (or 10287 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 456725220 is about 21371.1305269515. The cubic root of 456725220 is about 770.1080525264.

The spelling of 456725220 in words is "four hundred fifty-six million, seven hundred twenty-five thousand, two hundred twenty".