509792 has 24 divisors (see below), whose sum is σ = 1020600. Its totient is φ = 250624.

The previous prime is 509783. The next prime is 509797. The reversal of 509792 is 297905.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509792.

It is not an unprimeable number, because it can be changed into a prime (509797) by changing a digit.

509792 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, 2759 + ... + 2937.

It is an arithmetic number, because the mean of its divisors is an integer number (42525).

2⁵⁰⁹⁷⁹² is an apocalyptic number.

It is an amenable number.

509792 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.

509792 is a wasteful number, since it uses less digits than its factorization.

509792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 509792 is about 713.9971988741. The cubic root of 509792 is about 79.8848342903.

509792 divided by its sum of digits (32) gives a triangular number (15931 = T₁₇₈).

The spelling of 509792 in words is "five hundred nine thousand, seven hundred ninety-two".