480224027808 has 768 divisors, whose sum is σ = 1792336896000. Its totient is φ = 121776390144.

The previous prime is 480224027797. The next prime is 480224027813. The reversal of 480224027808 is 808720422084.

480224027808 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 572376253 + ... + 572377091.

It is an arithmetic number, because the mean of its divisors is an integer number (2333772000).

Almost surely, 2^480224027808 is an apocalyptic number.

480224027808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480224027808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896168448000).

480224027808 is an abundant number, since it is smaller than the sum of its proper divisors (1312112868192).

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

480224027808 is a wasteful number, since it uses less digits than its factorization.

480224027808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 480224027808 in words is "four hundred eighty billion, two hundred twenty-four million, twenty-seven thousand, eight hundred eight".