468546688 has 128 divisors (see below), whose sum is σ = 1041868800. Its totient is φ = 209018880.

The previous prime is 468546629. The next prime is 468546721. The reversal of 468546688 is 886645864.

It is a tau number, because it is divible by the number of its divisors (128).

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, 3689281 + ... + 3689407.

It is an arithmetic number, because the mean of its divisors is an integer number (8139600).

Almost surely, 2^468546688 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 468546688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520934400).

468546688 is an abundant number, since it is smaller than the sum of its proper divisors (573322112).

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

468546688 is a wasteful number, since it uses less digits than its factorization.

468546688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 55.

The square root of 468546688 is about 21645.9392958587. The cubic root of 468546688 is about 776.6958013307.

The spelling of 468546688 in words is "four hundred sixty-eight million, five hundred forty-six thousand, six hundred eighty-eight".