509496 has 64 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 147840.

The previous prime is 509477. The next prime is 509513. The reversal of 509496 is 694905.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

509496 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 15 ways as a sum of consecutive naturals, for example, 7141 + ... + 7211.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁵⁰⁹⁴⁹⁶ 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 509496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

509496 is an abundant number, since it is smaller than the sum of its proper divisors (942024).

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

509496 is a wasteful number, since it uses less digits than its factorization.

509496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 509496 is about 713.7898850502. The cubic root of 509496 is about 79.8693701475.

The spelling of 509496 in words is "five hundred nine thousand, four hundred ninety-six".