468216 has 48 divisors (see below), whose sum is σ = 1450800. Its totient is φ = 133632.

The previous prime is 468199. The next prime is 468239. The reversal of 468216 is 612864.

468216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 468216.

It is a congruent number.

It is an unprimeable number.

468216 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 11 ways as a sum of consecutive naturals, for example, 40 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (30225).

2⁴⁶⁸²¹⁶ 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 468216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725400).

468216 is an abundant number, since it is smaller than the sum of its proper divisors (982584).

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

468216 is a wasteful number, since it uses less digits than its factorization.

468216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 941 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 468216 is about 684.2631072913. The cubic root of 468216 is about 77.6513034465.

The spelling of 468216 in words is "four hundred sixty-eight thousand, two hundred sixteen".