480082768 has 40 divisors (see below), whose sum is σ = 1021586400. Its totient is φ = 216743040.

The previous prime is 480082751. The next prime is 480082781. The reversal of 480082768 is 867280084.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17071 + ... + 35377.

It is an arithmetic number, because the mean of its divisors is an integer number (25539660).

Almost surely, 2^480082768 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 480082768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510793200).

480082768 is an abundant number, since it is smaller than the sum of its proper divisors (541503632).

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

480082768 is a wasteful number, since it uses less digits than its factorization.

480082768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18475 (or 18469 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 480082768 is about 21910.7911313124. The cubic root of 480082768 is about 783.0185292258.

The spelling of 480082768 in words is "four hundred eighty million, eighty-two thousand, seven hundred sixty-eight".