456323868 has 432 divisors, whose sum is σ = 1659176064. Its totient is φ = 107775360.

The previous prime is 456323851. The next prime is 456323897. The reversal of 456323868 is 868323654.

It is a happy number.

456323868 is a `hidden beast` number, since 4 + 5 + 632 + 3 + 8 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6810771 + ... + 6810837.

Almost surely, 2^456323868 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 456323868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829588032).

456323868 is an abundant number, since it is smaller than the sum of its proper divisors (1202852196).

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

456323868 is a wasteful number, since it uses less digits than its factorization.

456323868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 456323868 is about 21361.7384124045. The cubic root of 456323868 is about 769.8824062845.

The spelling of 456323868 in words is "four hundred fifty-six million, three hundred twenty-three thousand, eight hundred sixty-eight".