448905204800 has 168 divisors, whose sum is σ = 1241276761536. Its totient is φ = 158542940160.

The previous prime is 448905204757. The next prime is 448905204901. The reversal of 448905204800 is 8402509844.

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, 9227 + ... + 947573.

It is an arithmetic number, because the mean of its divisors is an integer number (7388552152).

Almost surely, 2^448905204800 is an apocalyptic number.

448905204800 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 448905204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620638380768).

448905204800 is an abundant number, since it is smaller than the sum of its proper divisors (792371556736).

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

448905204800 is a wasteful number, since it uses less digits than its factorization.

448905204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938405 (or 938390 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 448905204800 in words is "four hundred forty-eight billion, nine hundred five million, two hundred four thousand, eight hundred".