509358 has 16 divisors (see below), whose sum is σ = 1063296. Its totient is φ = 162360.

The previous prime is 509329. The next prime is 509359. The reversal of 509358 is 853905.

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 509358.

It is not an unprimeable number, because it can be changed into a prime (509359) by changing a digit.

509358 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 7 ways as a sum of consecutive naturals, for example, 1708 + ... + 1983.

It is an arithmetic number, because the mean of its divisors is an integer number (66456).

2⁵⁰⁹³⁵⁸ is an apocalyptic number.

509358 is an abundant number, since it is smaller than the sum of its proper divisors (553938).

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

509358 is a wasteful number, since it uses less digits than its factorization.

509358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 509358 is about 713.6932114011. The cubic root of 509358 is about 79.8621584661.

It can be divided in two parts, 5093 and 58, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 509358 in words is "five hundred nine thousand, three hundred fifty-eight".