509008224 has 24 divisors (see below), whose sum is σ = 1336146840. Its totient is φ = 169669376.

The previous prime is 509008219. The next prime is 509008231. The reversal of 509008224 is 422800905.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 509008191 and 509008200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2650989 + ... + 2651180.

It is an arithmetic number, because the mean of its divisors is an integer number (55672785).

Almost surely, 2^509008224 is an apocalyptic number.

It is an amenable number.

509008224 is an abundant number, since it is smaller than the sum of its proper divisors (827138616).

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

509008224 is a wasteful number, since it uses less digits than its factorization.

509008224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5302182 (or 5302174 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 509008224 is about 22561.2106058163. The cubic root of 509008224 is about 798.4387383932.

The spelling of 509008224 in words is "five hundred nine million, eight thousand, two hundred twenty-four".