468125568 has 160 divisors (see below), whose sum is σ = 1406741160. Its totient is φ = 154524672.

The previous prime is 468125557. The next prime is 468125587. The reversal of 468125568 is 865521864.

468125568 is a `hidden beast` number, since 4 + 6 + 81 + 2 + 5 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1689846 + ... + 1690122.

Almost surely, 2^468125568 is an apocalyptic number.

468125568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703370580).

468125568 is an abundant number, since it is smaller than the sum of its proper divisors (938615592).

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

468125568 is a wasteful number, since it uses less digits than its factorization.

468125568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 445 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 468125568 is about 21636.2096495666. The cubic root of 468125568 is about 776.4630389154.

The spelling of 468125568 in words is "four hundred sixty-eight million, one hundred twenty-five thousand, five hundred sixty-eight".