509669424 has 90 divisors (see below), whose sum is σ = 1567877948. Its totient is φ = 154440000.

The previous prime is 509669417. The next prime is 509669431. The reversal of 509669424 is 424966905.

It is an interprime number because it is at equal distance from previous prime (509669417) and next prime (509669431).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 509669424.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2799 + ... + 32049.

Almost surely, 2^509669424 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 509669424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783938974).

509669424 is an abundant number, since it is smaller than the sum of its proper divisors (1058208524).

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

509669424 is a wasteful number, since it uses less digits than its factorization.

509669424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29287 (or 29267 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 509669424 is about 22575.8593191931. The cubic root of 509669424 is about 798.7843118971.

The spelling of 509669424 in words is "five hundred nine million, six hundred sixty-nine thousand, four hundred twenty-four".