456313368 has 64 divisors (see below), whose sum is σ = 1310400000. Its totient is φ = 129710592.

The previous prime is 456313343. The next prime is 456313373. The reversal of 456313368 is 863313654.

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 15 ways as a sum of consecutive naturals, for example, 26608 + ... + 40256.

It is an arithmetic number, because the mean of its divisors is an integer number (20475000).

Almost surely, 2^456313368 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 456313368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200000).

456313368 is an abundant number, since it is smaller than the sum of its proper divisors (854086632).

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

456313368 is a wasteful number, since it uses less digits than its factorization.

456313368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13864 (or 13860 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 456313368 is about 21361.4926444759. The cubic root of 456313368 is about 769.8765012480.

The spelling of 456313368 in words is "four hundred fifty-six million, three hundred thirteen thousand, three hundred sixty-eight".