468882 has 32 divisors (see below), whose sum is σ = 1099200. Its totient is φ = 147744.

The previous prime is 468869. The next prime is 468883. The reversal of 468882 is 288864.

468882 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 468882.

It is not an unprimeable number, because it can be changed into a prime (468883) by changing a digit.

468882 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798 + ... + 1254.

It is an arithmetic number, because the mean of its divisors is an integer number (34350).

2⁴⁶⁸⁸⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549600).

468882 is an abundant number, since it is smaller than the sum of its proper divisors (630318).

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

468882 is a wasteful number, since it uses less digits than its factorization.

468882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 468882 is about 684.7495892660. The cubic root of 468882 is about 77.6881036035.

It can be divided in two parts, 4 and 68882, that added together give a palindrome (68886).

The spelling of 468882 in words is "four hundred sixty-eight thousand, eight hundred eighty-two".