518224 has 30 divisors (see below), whose sum is σ = 1169754. Its totient is φ = 221760.

The previous prime is 518209. The next prime is 518233. The reversal of 518224 is 422815.

It can be written as a sum of positive squares in only one way, i.e., 490000 + 28224 = 700^2 + 168^2 .

It is a super-2 number, since 2×518224² = 537112228352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 518195 and 518204.

It is a congruent number.

It is an unprimeable number.

518224 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 5 ways as a sum of consecutive naturals, for example, 454 + ... + 1114.

2⁵¹⁸²²⁴ 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 518224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584877).

518224 is an abundant number, since it is smaller than the sum of its proper divisors (651530).

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

518224 is a wasteful number, since it uses less digits than its factorization.

518224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 670 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The square root of 518224 is about 719.8777674022. The cubic root of 518224 is about 80.3228619161.

The spelling of 518224 in words is "five hundred eighteen thousand, two hundred twenty-four".