480412260328 has 512 divisors, whose sum is σ = 1293584302080. Its totient is φ = 161243136000.

The previous prime is 480412260311. The next prime is 480412260331. The reversal of 480412260328 is 823062214084.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1772738833 + ... + 1772739103.

It is an arithmetic number, because the mean of its divisors is an integer number (2526531840).

Almost surely, 2^480412260328 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 480412260328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646792151040).

480412260328 is an abundant number, since it is smaller than the sum of its proper divisors (813172041752).

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

480412260328 is a wasteful number, since it uses less digits than its factorization.

480412260328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 480412260328 in words is "four hundred eighty billion, four hundred twelve million, two hundred sixty thousand, three hundred twenty-eight".