509958 has 24 divisors (see below), whose sum is σ = 1133496. Its totient is φ = 165600.

The previous prime is 509947. The next prime is 509959. The reversal of 509958 is 859905.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509958.

It is not an unprimeable number, because it can be changed into a prime (509959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393 + ... + 1083.

It is an arithmetic number, because the mean of its divisors is an integer number (47229).

2⁵⁰⁹⁹⁵⁸ is an apocalyptic number.

509958 is an abundant number, since it is smaller than the sum of its proper divisors (623538).

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

509958 is a wasteful number, since it uses less digits than its factorization.

509958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 509958 is about 714.1134363671. The cubic root of 509958 is about 79.8935041291.

The spelling of 509958 in words is "five hundred nine thousand, nine hundred fifty-eight".