468209664 has 156 divisors (see below), whose sum is σ = 1457965236. Its totient is φ = 143917056.

The previous prime is 468209657. The next prime is 468209683. The reversal of 468209664 is 466902864.

It can be written as a sum of positive squares in 2 ways, for example, as 266342400 + 201867264 = 16320^2 + 14208^2 .

It is a tau number, because it is divible by the number of its divisors (156).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478744 + ... + 479720.

It is an arithmetic number, because the mean of its divisors is an integer number (9345931).

Almost surely, 2^468209664 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 468209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728982618).

468209664 is an abundant number, since it is smaller than the sum of its proper divisors (989755572).

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

468209664 is a wasteful number, since it uses less digits than its factorization.

468209664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 468209664 is about 21638.1529710833. The cubic root of 468209664 is about 776.5095318014.

The spelling of 468209664 in words is "four hundred sixty-eight million, two hundred nine thousand, six hundred sixty-four".