480444440880 has 160 divisors (see below), whose sum is σ = 1568499609600. Its totient is φ = 121318649856.

The previous prime is 480444440869. The next prime is 480444440933. The reversal of 480444440880 is 88044444084.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 10186312 + ... + 10233368.

It is an arithmetic number, because the mean of its divisors is an integer number (9803122560).

Almost surely, 2^480444440880 is an apocalyptic number.

480444440880 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 480444440880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784249804800).

480444440880 is an abundant number, since it is smaller than the sum of its proper divisors (1088055168720).

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

480444440880 is a wasteful number, since it uses less digits than its factorization.

480444440880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49331 (or 49325 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 480444440880 in words is "four hundred eighty billion, four hundred forty-four million, four hundred forty thousand, eight hundred eighty".