509864 has 32 divisors (see below), whose sum is σ = 1062720. Its totient is φ = 228096.

The previous prime is 509863. The next prime is 509867. The reversal of 509864 is 468905.

It is a super-2 number, since 2×509864² = 519922596992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 509864.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509864.

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 7 ways as a sum of consecutive naturals, for example, 3047 + ... + 3209.

It is an arithmetic number, because the mean of its divisors is an integer number (33210).

2⁵⁰⁹⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

509864 is an abundant number, since it is smaller than the sum of its proper divisors (552856).

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

509864 is a wasteful number, since it uses less digits than its factorization.

509864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 509864 is about 714.0476174598. The cubic root of 509864 is about 79.8885949334. Note that the first 3 decimals are identical.

The spelling of 509864 in words is "five hundred nine thousand, eight hundred sixty-four".