509860 has 48 divisors (see below), whose sum is σ = 1206576. Its totient is φ = 179712.

The previous prime is 509843. The next prime is 509863. The reversal of 509860 is 68905.

It can be written as a sum of positive squares in 8 ways, for example, as 2916 + 506944 = 54^2 + 712^2 .

It is not an unprimeable number, because it can be changed into a prime (509863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9594 + ... + 9646.

It is an arithmetic number, because the mean of its divisors is an integer number (25137).

2⁵⁰⁹⁸⁶⁰ 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 509860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603288).

509860 is an abundant number, since it is smaller than the sum of its proper divisors (696716).

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

509860 is a wasteful number, since it uses less digits than its factorization.

509860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 509860 is about 714.0448165206. The cubic root of 509860 is about 79.8883860181. Note that the first 3 decimals are identical.

It can be divided in two parts, 509 and 860, that added together give a square (1369 = 37²).

The spelling of 509860 in words is "five hundred nine thousand, eight hundred sixty".