468224 has 36 divisors (see below), whose sum is σ = 981120. Its totient is φ = 222720.

The previous prime is 468199. The next prime is 468239. The reversal of 468224 is 422864.

It is a junction number, because it is equal to n+sod(n) for n = 468193 and 468202.

It is a congruent number.

It is an unprimeable number.

468224 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 3 ways as a sum of consecutive naturals, for example, 7907 + ... + 7965.

2⁴⁶⁸²²⁴ 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 468224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490560).

468224 is an abundant number, since it is smaller than the sum of its proper divisors (512896).

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

468224 is an equidigital number, since it uses as much as digits as its factorization.

468224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 468224 is about 684.2689529710. The cubic root of 468224 is about 77.6517456974.

The spelling of 468224 in words is "four hundred sixty-eight thousand, two hundred twenty-four".