509224 has 16 divisors (see below), whose sum is σ = 973620. Its totient is φ = 249600.

The previous prime is 509221. The next prime is 509227. The reversal of 509224 is 422905.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (509221) and next prime (509227).

It can be written as a sum of positive squares in 2 ways, for example, as 476100 + 33124 = 690^2 + 182^2 .

It is a junction number, because it is equal to n+sod(n) for n = 509195 and 509204.

It is not an unprimeable number, because it can be changed into a prime (509221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 177 + ... + 1024.

2⁵⁰⁹²²⁴ is an apocalyptic number.

It is an amenable number.

509224 is a deficient number, since it is larger than the sum of its proper divisors (464396).

509224 is a wasteful number, since it uses less digits than its factorization.

509224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 509224 is about 713.5993273539. The cubic root of 509224 is about 79.8551545725.

The spelling of 509224 in words is "five hundred nine thousand, two hundred twenty-four".