509994 has 24 divisors (see below), whose sum is σ = 1144260. Its totient is φ = 163968.

The previous prime is 509989. The next prime is 510007. The reversal of 509994 is 499905.

It can be written as a sum of positive squares in 2 ways, for example, as 471969 + 38025 = 687^2 + 195^2 .

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509994.

It is an unprimeable number.

509994 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, 34 + ... + 1010.

2⁵⁰⁹⁹⁹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572130).

509994 is an abundant number, since it is smaller than the sum of its proper divisors (634266).

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

509994 is a wasteful number, since it uses less digits than its factorization.

509994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 509994 is about 714.1386420017. The cubic root of 509994 is about 79.8953840869.

The spelling of 509994 in words is "five hundred nine thousand, nine hundred ninety-four".