448050879360 has 768 divisors, whose sum is σ = 1887321047040. Its totient is φ = 95609880576.

The previous prime is 448050879247. The next prime is 448050879373. The reversal of 448050879360 is 63978050844.

448050879360 is a `hidden beast` number, since 4 + 4 + 8 + 0 + 508 + 79 + 3 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 448050879297 and 448050879306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87048307 + ... + 87053453.

It is an arithmetic number, because the mean of its divisors is an integer number (2457449280).

Almost surely, 2^448050879360 is an apocalyptic number.

448050879360 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 448050879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943660523520).

448050879360 is an abundant number, since it is smaller than the sum of its proper divisors (1439270167680).

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

448050879360 is a wasteful number, since it uses less digits than its factorization.

448050879360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5323 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 448050879360 in words is "four hundred forty-eight billion, fifty million, eight hundred seventy-nine thousand, three hundred sixty".