509348 has 12 divisors (see below), whose sum is σ = 1018752. Its totient is φ = 218280.

The previous prime is 509329. The next prime is 509359. The reversal of 509348 is 843905.

509348 is an admirable number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 509348.

It is an unprimeable number.

509348 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, 9068 + ... + 9123.

It is an arithmetic number, because the mean of its divisors is an integer number (84896).

2⁵⁰⁹³⁴⁸ is an apocalyptic number.

It is an amenable number.

509348 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

509348 is a wasteful number, since it uses less digits than its factorization.

509348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18202 (or 18200 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 509348 is about 713.6862055554. The cubic root of 509348 is about 79.8616358299.

The spelling of 509348 in words is "five hundred nine thousand, three hundred forty-eight".