509350 has 24 divisors (see below), whose sum is σ = 968688. Its totient is φ = 199200.

The previous prime is 509329. The next prime is 509359. The reversal of 509350 is 53905.

It is a super-3 number, since 3×509350³ = 396433353451125000, which contains 333 as substring.

It is a zygodrome in base 5.

It is a congruent number.

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

509350 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2967 + ... + 3133.

It is an arithmetic number, because the mean of its divisors is an integer number (40362).

2⁵⁰⁹³⁵⁰ is an apocalyptic number.

509350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

509350 is a deficient number, since it is larger than the sum of its proper divisors (459338).

509350 is a wasteful number, since it uses less digits than its factorization.

509350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 22.

The square root of 509350 is about 713.6876067300. The cubic root of 509350 is about 79.8617403577.

The spelling of 509350 in words is "five hundred nine thousand, three hundred fifty".