468888 has 32 divisors (see below), whose sum is σ = 1340160. Its totient is φ = 133920.

The previous prime is 468887. The next prime is 468889. The reversal of 468888 is 888864.

It is an interprime number because it is at equal distance from previous prime (468887) and next prime (468889).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

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 468888.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1228 + ... + 1563.

It is an arithmetic number, because the mean of its divisors is an integer number (41880).

2⁴⁶⁸⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

468888 is an abundant number, since it is smaller than the sum of its proper divisors (871272).

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

468888 is a wasteful number, since it uses less digits than its factorization.

468888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2803 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 468888 is about 684.7539704157. The cubic root of 468888 is about 77.6884349780.

The spelling of 468888 in words is "four hundred sixty-eight thousand, eight hundred eighty-eight".