468210264 has 64 divisors (see below), whose sum is σ = 1224115200. Its totient is φ = 148955136.

The previous prime is 468210229. The next prime is 468210343. The reversal of 468210264 is 462012864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423937 + ... + 425039.

It is an arithmetic number, because the mean of its divisors is an integer number (19126800).

Almost surely, 2^468210264 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 468210264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612057600).

468210264 is an abundant number, since it is smaller than the sum of its proper divisors (755904936).

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

468210264 is a wasteful number, since it uses less digits than its factorization.

468210264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 468210264 is about 21638.1668354785. The cubic root of 468210264 is about 776.5098634944.

The spelling of 468210264 in words is "four hundred sixty-eight million, two hundred ten thousand, two hundred sixty-four".