468936 has 64 divisors (see below), whose sum is σ = 1411200. Its totient is φ = 143424.

The previous prime is 468913. The next prime is 468953. The reversal of 468936 is 639864.

468936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 468936.

It is an unprimeable number.

468936 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, 2725 + ... + 2891.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2⁴⁶⁸⁹³⁶ 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 468936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705600).

468936 is an abundant number, since it is smaller than the sum of its proper divisors (942264).

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

468936 is a wasteful number, since it uses less digits than its factorization.

468936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 468936 is about 684.7890186035. The cubic root of 468936 is about 77.6910858723.

The spelling of 468936 in words is "four hundred sixty-eight thousand, nine hundred thirty-six".