509076 has 36 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 166608.

The previous prime is 509071. The next prime is 509087. The reversal of 509076 is 670905.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509071) 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, 2755 + ... + 2933.

It is an arithmetic number, because the mean of its divisors is an integer number (36400).

2⁵⁰⁹⁰⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

509076 is an abundant number, since it is smaller than the sum of its proper divisors (801324).

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

509076 is a wasteful number, since it uses less digits than its factorization.

509076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 509076 is about 713.4956201688. The cubic root of 509076 is about 79.8474175006.

The spelling of 509076 in words is "five hundred nine thousand, seventy-six".