448803089280 has 960 divisors, whose sum is σ = 2007996994080. Its totient is φ = 94685552640.

The previous prime is 448803089269. The next prime is 448803089297. The reversal of 448803089280 is 82980308844.

448803089280 is a `hidden beast` number, since 4 + 488 + 0 + 3 + 0 + 89 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33015285 + ... + 33028875.

Almost surely, 2^448803089280 is an apocalyptic number.

448803089280 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 448803089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003998497040).

448803089280 is an abundant number, since it is smaller than the sum of its proper divisors (1559193904800).

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

448803089280 is a wasteful number, since it uses less digits than its factorization.

448803089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13649 (or 13621 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 448803089280 in words is "four hundred forty-eight billion, eight hundred three million, eighty-nine thousand, two hundred eighty".