509856768 has 154 divisors (see below), whose sum is σ = 1530361764. Its totient is φ = 169703424.

The previous prime is 509856761. The next prime is 509856769. The reversal of 509856768 is 867658905.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (509856761) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746155 + ... + 746837.

Almost surely, 2^509856768 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 509856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765180882).

509856768 is an abundant number, since it is smaller than the sum of its proper divisors (1020504996).

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

509856768 is an frugal number, since it uses more digits than its factorization.

509856768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 509856768 is about 22580.0081488028. The cubic root of 509856768 is about 798.8821721369.

The spelling of 509856768 in words is "five hundred nine million, eight hundred fifty-six thousand, seven hundred sixty-eight".