509949 has 32 divisors (see below), whose sum is σ = 881280. Its totient is φ = 288000.

The previous prime is 509947. The next prime is 509959. The reversal of 509949 is 949905.

It is not a de Polignac number, because 509949 - 2¹ = 509947 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4999 + ... + 5099.

It is an arithmetic number, because the mean of its divisors is an integer number (27540).

2⁵⁰⁹⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

509949 is a deficient number, since it is larger than the sum of its proper divisors (371331).

509949 is a wasteful number, since it uses less digits than its factorization.

509949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

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

The square root of 509949 is about 714.1071348194. The cubic root of 509949 is about 79.8930341258.

It can be divided in two parts, 50 and 9949, that added together give a palindrome (9999).

The spelling of 509949 in words is "five hundred nine thousand, nine hundred forty-nine".