448408808320 has 192 divisors, whose sum is σ = 1180095487200. Its totient is φ = 162807828480.

The previous prime is 448408808317. The next prime is 448408808357. The reversal of 448408808320 is 23808804844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54900877 + ... + 54909043.

Almost surely, 2^448408808320 is an apocalyptic number.

448408808320 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 448408808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590047743600).

448408808320 is an abundant number, since it is smaller than the sum of its proper divisors (731686678880).

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

448408808320 is a wasteful number, since it uses less digits than its factorization.

448408808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8917 (or 8894 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 49.

The spelling of 448408808320 in words is "four hundred forty-eight billion, four hundred eight million, eight hundred eight thousand, three hundred twenty".