480247226880 has 320 divisors, whose sum is σ = 1585793645568. Its totient is φ = 123909488640.

The previous prime is 480247226857. The next prime is 480247226933. The reversal of 480247226880 is 88622742084.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35328885 + ... + 35342475.

Almost surely, 2^480247226880 is an apocalyptic number.

480247226880 is a gapful number since it is divisible by the number (40) 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 480247226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792896822784).

480247226880 is an abundant number, since it is smaller than the sum of its proper divisors (1105546418688).

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

480247226880 is a wasteful number, since it uses less digits than its factorization.

480247226880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13767 (or 13751 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 51.

The spelling of 480247226880 in words is "four hundred eighty billion, two hundred forty-seven million, two hundred twenty-six thousand, eight hundred eighty".