516224 has 32 divisors (see below), whose sum is σ = 1065900. Its totient is φ = 248832.

The previous prime is 516223. The next prime is 516227. The reversal of 516224 is 422615.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 462400 + 53824 = 680^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (480) is a multiple of the sum of its prime factors (160).

It is a junction number, because it is equal to n+sod(n) for n = 516196 and 516205.

It is not an unprimeable number, because it can be changed into a prime (516223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4682 + ... + 4790.

2⁵¹⁶²²⁴ 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 516224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532950).

516224 is an abundant number, since it is smaller than the sum of its proper divisors (549676).

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

516224 is a wasteful number, since it uses less digits than its factorization.

516224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 516224 is about 718.4872998182. The cubic root of 516224 is about 80.2193977578.

Adding to 516224 its reverse (422615), we get a palindrome (938839).

The spelling of 516224 in words is "five hundred sixteen thousand, two hundred twenty-four".