448548428800 has 528 divisors, whose sum is σ = 1216242244800. Its totient is φ = 163499212800.

The previous prime is 448548428773. The next prime is 448548428803. The reversal of 448548428800 is 8824845844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448548428803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1861196680 + ... + 1861196920.

It is an arithmetic number, because the mean of its divisors is an integer number (2303489100).

Almost surely, 2^448548428800 is an apocalyptic number.

448548428800 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 448548428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608121122400).

448548428800 is an abundant number, since it is smaller than the sum of its proper divisors (767693816000).

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

448548428800 is a wasteful number, since it uses less digits than its factorization.

448548428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 10485760, while the sum is 55.

The spelling of 448548428800 in words is "four hundred forty-eight billion, five hundred forty-eight million, four hundred twenty-eight thousand, eight hundred".