509838 has 32 divisors (see below), whose sum is σ = 1190400. Its totient is φ = 142560.

The previous prime is 509837. The next prime is 509843. The reversal of 509838 is 838905.

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 = 509799 and 509808.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2463 + ... + 2661.

It is an arithmetic number, because the mean of its divisors is an integer number (37200).

2⁵⁰⁹⁸³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595200).

509838 is an abundant number, since it is smaller than the sum of its proper divisors (680562).

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

509838 is a wasteful number, since it uses less digits than its factorization.

509838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 509838 is about 714.0294111590. The cubic root of 509838 is about 79.8872369642.

The spelling of 509838 in words is "five hundred nine thousand, eight hundred thirty-eight".