502368768 has 360 divisors, whose sum is σ = 1719241524. Its totient is φ = 140574720.

The previous prime is 502368761. The next prime is 502368781. The reversal of 502368768 is 867863205.

502368768 is a `hidden beast` number, since 502 + 3 + 6 + 87 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 468635904 + 33732864 = 21648^2 + 5808^2 .

It is not an unprimeable number, because it can be changed into a prime (502368761) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9478630 + ... + 9478682.

Almost surely, 2^502368768 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 502368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859620762).

502368768 is an abundant number, since it is smaller than the sum of its proper divisors (1216872756).

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

502368768 is a wasteful number, since it uses less digits than its factorization.

502368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 502368768 is about 22413.5844522914. The cubic root of 502368768 is about 794.9519467810.

The spelling of 502368768 in words is "five hundred two million, three hundred sixty-eight thousand, seven hundred sixty-eight".