512448768 has 180 divisors, whose sum is σ = 1646435868. Its totient is φ = 157593600.

The previous prime is 512448757. The next prime is 512448803. The reversal of 512448768 is 867844215.

It can be written as a sum of positive squares in 2 ways, for example, as 58247424 + 454201344 = 7632^2 + 21312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 268618 + ... + 270518.

Almost surely, 2^512448768 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 512448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823217934).

512448768 is an abundant number, since it is smaller than the sum of its proper divisors (1133987100).

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

512448768 is a wasteful number, since it uses less digits than its factorization.

512448768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1919 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 512448768 is about 22637.3312914752. The cubic root of 512448768 is about 800.2336650775.

The spelling of 512448768 in words is "five hundred twelve million, four hundred forty-eight thousand, seven hundred sixty-eight".