448356816720 has 960 divisors, whose sum is σ = 1676669829120. Its totient is φ = 107012505600.

The previous prime is 448356816679. The next prime is 448356816737. The reversal of 448356816720 is 27618653844.

It is a happy number.

448356816720 is a `hidden beast` number, since 4 + 4 + 8 + 3 + 568 + 1 + 6 + 72 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3422571055 + ... + 3422571185.

It is an arithmetic number, because the mean of its divisors is an integer number (1746531072).

Almost surely, 2^448356816720 is an apocalyptic number.

448356816720 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 448356816720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838334914560).

448356816720 is an abundant number, since it is smaller than the sum of its proper divisors (1228313012400).

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

448356816720 is a wasteful number, since it uses less digits than its factorization.

448356816720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 448356816720 in words is "four hundred forty-eight billion, three hundred fifty-six million, eight hundred sixteen thousand, seven hundred twenty".