509940 has 36 divisors (see below), whose sum is σ = 1547364. Its totient is φ = 135936.

The previous prime is 509939. The next prime is 509947. The reversal of 509940 is 49905.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 191844 + 318096 = 438^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1237 + ... + 1596.

2⁵⁰⁹⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

509940 is an abundant number, since it is smaller than the sum of its proper divisors (1037424).

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

509940 is a wasteful number, since it uses less digits than its factorization.

509940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 509940 is about 714.1008332162. The cubic root of 509940 is about 79.8925641171.

The spelling of 509940 in words is "five hundred nine thousand, nine hundred forty".