509334 has 32 divisors (see below), whose sum is σ = 1188096. Its totient is φ = 142560.

The previous prime is 509329. The next prime is 509359. The reversal of 509334 is 433905.

It is a super-2 number, since 2×509334² = 518842247112, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

509334 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 15 ways as a sum of consecutive naturals, for example, 2724 + ... + 2904.

It is an arithmetic number, because the mean of its divisors is an integer number (37128).

2⁵⁰⁹³³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594048).

509334 is an abundant number, since it is smaller than the sum of its proper divisors (678762).

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

509334 is a wasteful number, since it uses less digits than its factorization.

509334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 509334 is about 713.6763972558. The cubic root of 509334 is about 79.8609041277.

The spelling of 509334 in words is "five hundred nine thousand, three hundred thirty-four".