480790307008 has 112 divisors (see below), whose sum is σ = 1049254980480. Its totient is φ = 216769075200.

The previous prime is 480790306999. The next prime is 480790307027. The reversal of 480790307008 is 800703097084.

It is a super-3 number, since 3×480790307008³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177215860 + ... + 177218572.

It is an arithmetic number, because the mean of its divisors is an integer number (9368348040).

Almost surely, 2^480790307008 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 480790307008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524627490240).

480790307008 is an abundant number, since it is smaller than the sum of its proper divisors (568464673472).

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

480790307008 is a wasteful number, since it uses less digits than its factorization.

480790307008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4686 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 480790307008 in words is "four hundred eighty billion, seven hundred ninety million, three hundred seven thousand, eight".