464488704 has 81 divisors (see below), whose sum is σ = 1342224793. Its totient is φ = 154484736.

The previous prime is 464488691. The next prime is 464488721. The reversal of 464488704 is 407884464.

The square root of 464488704 is 21552.

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., 283855104 + 180633600 = 16848^2 + 13440^2 .

It is a super-2 number, since 2×464488704² = 431499512287199232, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 464488704.

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 8 ways as a sum of consecutive naturals, for example, 1034272 + ... + 1034720.

Almost surely, 2^464488704 is an apocalyptic number.

464488704 is the 21552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464488704

464488704 is an abundant number, since it is smaller than the sum of its proper divisors (877736089).

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

464488704 is an frugal number, since it uses more digits than its factorization.

464488704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The cubic root of 464488704 is about 774.4470305886.

The spelling of 464488704 in words is "four hundred sixty-four million, four hundred eighty-eight thousand, seven hundred four".