456856625 has 8 divisors (see below), whose sum is σ = 570157224. Its totient is φ = 365485200.

The previous prime is 456856607. The next prime is 456856679. The reversal of 456856625 is 526658654.

It can be written as a sum of positive squares in 4 ways, for example, as 2825761 + 454030864 = 1681^2 + 21308^2 .

It is not a de Polignac number, because 456856625 - 2⁸ = 456856369 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456856625.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1827302 + ... + 1827551.

It is an arithmetic number, because the mean of its divisors is an integer number (71269653).

Almost surely, 2^456856625 is an apocalyptic number.

It is an amenable number.

456856625 is a deficient number, since it is larger than the sum of its proper divisors (113300599).

456856625 is an equidigital number, since it uses as much as digits as its factorization.

456856625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654868 (or 3654858 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 47.

The square root of 456856625 is about 21374.2046635658. The cubic root of 456856625 is about 770.1819017036.

The spelling of 456856625 in words is "four hundred fifty-six million, eight hundred fifty-six thousand, six hundred twenty-five".