468218304 has 126 divisors (see below), whose sum is σ = 1373803704. Its totient is φ = 152436480.

The previous prime is 468218281. The next prime is 468218351. The reversal of 468218304 is 403812864.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4375819 + ... + 4375925.

It is an arithmetic number, because the mean of its divisors is an integer number (10903204).

Almost surely, 2^468218304 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 468218304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686901852).

468218304 is an abundant number, since it is smaller than the sum of its proper divisors (905585400).

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

468218304 is a wasteful number, since it uses less digits than its factorization.

468218304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 468218304 is about 21638.3526175169. The cubic root of 468218304 is about 776.5143081524.

The spelling of 468218304 in words is "four hundred sixty-eight million, two hundred eighteen thousand, three hundred four".