468688 has 20 divisors (see below), whose sum is σ = 991008. Its totient is φ = 212960.

The previous prime is 468683. The next prime is 468691. The reversal of 468688 is 886864.

It is a happy number.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 468688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1156 + ... + 1507.

2⁴⁶⁸⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

468688 is an abundant number, since it is smaller than the sum of its proper divisors (522320).

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

468688 is a wasteful number, since it uses less digits than its factorization.

468688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2676 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 468688 is about 684.6079169861. The cubic root of 468688 is about 77.6773876371.

It can be divided in two parts, 4686 and 88, that added together give a palindrome (4774).

The spelling of 468688 in words is "four hundred sixty-eight thousand, six hundred eighty-eight".