456890625 has 105 divisors (see below), whose sum is σ = 900398631. Its totient is φ = 230850000.

The previous prime is 456890597. The next prime is 456890639. The reversal of 456890625 is 526098654.

The square root of 456890625 is 21375.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 400280049 + 56610576 = 20007^2 + 7524^2 .

It is not a de Polignac number, because 456890625 - 2²⁷ = 322672897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 24046866 + ... + 24046884.

Almost surely, 2^456890625 is an apocalyptic number.

456890625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

456890625 is the 21375-th square number.

456890625 is the 10688-th centered octagonal number.

It is an amenable number.

456890625 is a deficient number, since it is larger than the sum of its proper divisors (443508006).

456890625 is an frugal number, since it uses more digits than its factorization.

456890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The cubic root of 456890625 is about 770.2010072855.

Multiplying 456890625 by its product of nonzero digits (518400), we get a square (236852100000000 = 15390000²).

The spelling of 456890625 in words is "four hundred fifty-six million, eight hundred ninety thousand, six hundred twenty-five".