468576144 has 80 divisors (see below), whose sum is σ = 1364019840. Its totient is φ = 153982080.

The previous prime is 468576137. The next prime is 468576179. The reversal of 468576144 is 441675864.

468576144 is a `hidden beast` number, since 4 + 68 + 576 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 468576144.

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, 23034 + ... + 38310.

It is an arithmetic number, because the mean of its divisors is an integer number (17050248).

Almost surely, 2^468576144 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 468576144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682009920).

468576144 is an abundant number, since it is smaller than the sum of its proper divisors (895443696).

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

468576144 is a wasteful number, since it uses less digits than its factorization.

468576144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15365 (or 15353 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 468576144 is about 21646.6196899193. The cubic root of 468576144 is about 776.7120770991.

The spelling of 468576144 in words is "four hundred sixty-eight million, five hundred seventy-six thousand, one hundred forty-four".