468409312 has 48 divisors (see below), whose sum is σ = 1058061312. Its totient is φ = 199958400.

The previous prime is 468409309. The next prime is 468409321. The reversal of 468409312 is 213904864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54937 + ... + 62887.

It is an arithmetic number, because the mean of its divisors is an integer number (22042944).

Almost surely, 2^468409312 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 468409312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529030656).

468409312 is an abundant number, since it is smaller than the sum of its proper divisors (589652000).

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

468409312 is a wasteful number, since it uses less digits than its factorization.

468409312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8231 (or 8223 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 468409312 is about 21642.7658121600. The cubic root of 468409312 is about 776.6198858850.

The spelling of 468409312 in words is "four hundred sixty-eight million, four hundred nine thousand, three hundred twelve".