468590304 has 96 divisors (see below), whose sum is σ = 1513935360. Its totient is φ = 123581952.

The previous prime is 468590303. The next prime is 468590377. The reversal of 468590304 is 403095864.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468590303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18084 + ... + 35555.

It is an arithmetic number, because the mean of its divisors is an integer number (15770160).

Almost surely, 2^468590304 is an apocalyptic number.

It is an amenable number.

468590304 is an abundant number, since it is smaller than the sum of its proper divisors (1045345056).

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

468590304 is a wasteful number, since it uses less digits than its factorization.

468590304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53672 (or 53664 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 468590304 is about 21646.9467593007. The cubic root of 468590304 is about 776.7199008949.

The spelling of 468590304 in words is "four hundred sixty-eight million, five hundred ninety thousand, three hundred four".