509832 has 48 divisors (see below), whose sum is σ = 1414140. Its totient is φ = 165888.

The previous prime is 509801. The next prime is 509833. The reversal of 509832 is 238905.

It can be written as a sum of positive squares in 2 ways, for example, as 509796 + 36 = 714^2 + 6^2 .

It is a super-3 number, since 3×509832³ = 397559858333935104, which contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 509796 and 509805.

It is not an unprimeable number, because it can be changed into a prime (509833) by changing a digit.

509832 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 11 ways as a sum of consecutive naturals, for example, 5208 + ... + 5304.

2⁵⁰⁹⁸³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707070).

509832 is an abundant number, since it is smaller than the sum of its proper divisors (904308).

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

509832 is a wasteful number, since it uses less digits than its factorization.

509832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 509832 is about 714.0252096390. The cubic root of 509832 is about 79.8869235802.

The spelling of 509832 in words is "five hundred nine thousand, eight hundred thirty-two".