664392456 has 320 divisors, whose sum is σ = 2414966400. Its totient is φ = 165722112.

The previous prime is 664392431. The next prime is 664392473. The reversal of 664392456 is 654293466.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1120096 + ... + 1120688.

It is an arithmetic number, because the mean of its divisors is an integer number (7546770).

Almost surely, 2^664392456 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 664392456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207483200).

664392456 is an abundant number, since it is smaller than the sum of its proper divisors (1750573944).

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

664392456 is a wasteful number, since it uses less digits than its factorization.

664392456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 637 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 664392456 is about 25775.8114518244. The cubic root of 664392456 is about 872.5859800382.

It can be divided in two parts, 6643 and 92456, that added together give a palindrome (99099).

The spelling of 664392456 in words is "six hundred sixty-four million, three hundred ninety-two thousand, four hundred fifty-six".