468546304 has 36 divisors (see below), whose sum is σ = 937460160. Its totient is φ = 233722880.

The previous prime is 468546257. The next prime is 468546311. The reversal of 468546304 is 403645864.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120714 + ... + 124534.

It is an arithmetic number, because the mean of its divisors is an integer number (26040560).

Almost surely, 2^468546304 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 468546304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468730080).

468546304 is an abundant number, since it is smaller than the sum of its proper divisors (468913856).

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

468546304 is an equidigital number, since it uses as much as digits as its factorization.

468546304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 468546304 is about 21645.9304258329. The cubic root of 468546304 is about 776.6955891489.

The spelling of 468546304 in words is "four hundred sixty-eight million, five hundred forty-six thousand, three hundred four".