448974028800 has 756 divisors, whose sum is σ = 1764677069064. Its totient is φ = 108213043200.

The previous prime is 448974028793. The next prime is 448974028843. The reversal of 448974028800 is 8820479844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2595225514 + ... + 2595225686.

Almost surely, 2^448974028800 is an apocalyptic number.

448974028800 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 448974028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882338534532).

448974028800 is an abundant number, since it is smaller than the sum of its proper divisors (1315703040264).

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

448974028800 is an equidigital number, since it uses as much as digits as its factorization.

448974028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 448974028800 in words is "four hundred forty-eight billion, nine hundred seventy-four million, twenty-eight thousand, eight hundred".