468378816 has 112 divisors (see below), whose sum is σ = 1272844800. Its totient is φ = 151954432.

The previous prime is 468378791. The next prime is 468378817. The reversal of 468378816 is 618873864.

It is not an unprimeable number, because it can be changed into a prime (468378817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1959625 + ... + 1959863.

Almost surely, 2^468378816 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 468378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636422400).

468378816 is an abundant number, since it is smaller than the sum of its proper divisors (804465984).

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

468378816 is a wasteful number, since it uses less digits than its factorization.

468378816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 476 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 468378816 is about 21642.0612696665. The cubic root of 468378816 is about 776.6030314563.

The spelling of 468378816 in words is "four hundred sixty-eight million, three hundred seventy-eight thousand, eight hundred sixteen".