456164244 has 96 divisors (see below), whose sum is σ = 1239840000. Its totient is φ = 144764928.

The previous prime is 456164227. The next prime is 456164263. The reversal of 456164244 is 442461654.

456164244 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 642 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 456164199 and 456164208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015732 + ... + 1016180.

It is an arithmetic number, because the mean of its divisors is an integer number (12915000).

Almost surely, 2^456164244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456164244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619920000).

456164244 is an abundant number, since it is smaller than the sum of its proper divisors (783675756).

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

456164244 is a wasteful number, since it uses less digits than its factorization.

456164244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 886 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 456164244 is about 21358.0018728345. The cubic root of 456164244 is about 769.7926264520.

The spelling of 456164244 in words is "four hundred fifty-six million, one hundred sixty-four thousand, two hundred forty-four".