448521884160 has 480 divisors, whose sum is σ = 1692959590080. Its totient is φ = 100983472128.

The previous prime is 448521884159. The next prime is 448521884177. The reversal of 448521884160 is 61488125844.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25204546 + ... + 25222334.

It is an arithmetic number, because the mean of its divisors is an integer number (3526999146).

Almost surely, 2^448521884160 is an apocalyptic number.

448521884160 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 448521884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846479795040).

448521884160 is an abundant number, since it is smaller than the sum of its proper divisors (1244437705920).

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

448521884160 is a wasteful number, since it uses less digits than its factorization.

448521884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17896 (or 17873 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The spelling of 448521884160 in words is "four hundred forty-eight billion, five hundred twenty-one million, eight hundred eighty-four thousand, one hundred sixty".