448522880 has 256 divisors, whose sum is σ = 1250242560. Its totient is φ = 152616960.

The previous prime is 448522871. The next prime is 448522891. The reversal of 448522880 is 88225844.

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, 9543017 + ... + 9543063.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2^448522880 is an apocalyptic number.

448522880 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 448522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625121280).

448522880 is an abundant number, since it is smaller than the sum of its proper divisors (801719680).

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

448522880 is a wasteful number, since it uses less digits than its factorization.

448522880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 41.

The square root of 448522880 is about 21178.3587654946. The cubic root of 448522880 is about 765.4700458978.

The spelling of 448522880 in words is "four hundred forty-eight million, five hundred twenty-two thousand, eight hundred eighty".