456164164 has 27 divisors (see below), whose sum is σ = 816558141. Its totient is φ = 222977520.

The previous prime is 456164153. The next prime is 456164173. The reversal of 456164164 is 461461654.

The square root of 456164164 is 21358.

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

It can be written as a sum of positive squares in only one way, i.e., 5026564 + 451137600 = 2242^2 + 21240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2520154 + ... + 2520334.

Almost surely, 2^456164164 is an apocalyptic number.

456164164 is the 21358-th square number.

It is an amenable number.

456164164 is a deficient number, since it is larger than the sum of its proper divisors (360393977).

456164164 is an equidigital number, since it uses as much as digits as its factorization.

456164164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The cubic root of 456164164 is about 769.7925814511.

The spelling of 456164164 in words is "four hundred fifty-six million, one hundred sixty-four thousand, one hundred sixty-four".