253164456 has 48 divisors (see below), whose sum is σ = 687410100. Its totient is φ = 84172032.

The previous prime is 253164449. The next prime is 253164491. The reversal of 253164456 is 654461352.

253164456 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 644 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 223024356 + 30140100 = 14934^2 + 5490^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 253164456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25150 + ... + 33746.

Almost surely, 2^253164456 is an apocalyptic number.

It is an amenable number.

253164456 is an abundant number, since it is smaller than the sum of its proper divisors (434245644).

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

253164456 is a wasteful number, since it uses less digits than its factorization.

253164456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9018 (or 9011 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 253164456 is about 15911.1425108318. The cubic root of 253164456 is about 632.6073649025.

The spelling of 253164456 in words is "two hundred fifty-three million, one hundred sixty-four thousand, four hundred fifty-six".