456665625 has 72 divisors (see below), whose sum is σ = 888615000. Its totient is φ = 224640000.

The previous prime is 456665603. The next prime is 456665647. The reversal of 456665625 is 526566654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (456665603) and next prime (456665647).

It can be written as a sum of positive squares in 12 ways, for example, as 438106761 + 18558864 = 20931^2 + 4308^2 .

It is not a de Polignac number, because 456665625 - 2⁵ = 456665593 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 365001 + ... + 366249.

It is an arithmetic number, because the mean of its divisors is an integer number (12341875).

Almost surely, 2^456665625 is an apocalyptic number.

456665625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456665625 is a deficient number, since it is larger than the sum of its proper divisors (431949375).

456665625 is a wasteful number, since it uses less digits than its factorization.

456665625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1270 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 456665625 is about 21369.7361939730. The cubic root of 456665625 is about 770.0745556639.

The spelling of 456665625 in words is "four hundred fifty-six million, six hundred sixty-five thousand, six hundred twenty-five".