509870768 has 60 divisors (see below), whose sum is σ = 1091638464. Its totient is φ = 230524800.

The previous prime is 509870741. The next prime is 509870791. The reversal of 509870768 is 867078905.

It is a happy number.

It is an unprimeable 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, 431138 + ... + 432318.

Almost surely, 2^509870768 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 509870768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545819232).

509870768 is an abundant number, since it is smaller than the sum of its proper divisors (581767696).

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

509870768 is a wasteful number, since it uses less digits than its factorization.

509870768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 50.

The square root of 509870768 is about 22580.3181554202. The cubic root of 509870768 is about 798.8894841565.

The spelling of 509870768 in words is "five hundred nine million, eight hundred seventy thousand, seven hundred sixty-eight".