509344 has 24 divisors (see below), whose sum is σ = 1094688. Its totient is φ = 231360.

The previous prime is 509329. The next prime is 509359. The reversal of 509344 is 443905.

It is an interprime number because it is at equal distance from previous prime (509329) and next prime (509359).

It is an unprimeable number.

509344 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, 372 + ... + 1075.

It is an arithmetic number, because the mean of its divisors is an integer number (45612).

2⁵⁰⁹³⁴⁴ is an apocalyptic number.

It is an amenable number.

509344 is an abundant number, since it is smaller than the sum of its proper divisors (585344).

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

509344 is a wasteful number, since it uses less digits than its factorization.

509344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 509344 is about 713.6834031978. The cubic root of 509344 is about 79.8614267735.

The spelling of 509344 in words is "five hundred nine thousand, three hundred forty-four".