448050807360 has 1344 divisors, whose sum is σ = 1859253177600. Its totient is φ = 97988050944.

The previous prime is 448050807349. The next prime is 448050807367. The reversal of 448050807360 is 63708050844.

448050807360 is a `hidden beast` number, since 4 + 4 + 80 + 508 + 0 + 7 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (448050807367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 763288987 + ... + 763289573.

It is an arithmetic number, because the mean of its divisors is an integer number (1383372900).

Almost surely, 2^448050807360 is an apocalyptic number.

448050807360 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 448050807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929626588800).

448050807360 is an abundant number, since it is smaller than the sum of its proper divisors (1411202370240).

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

448050807360 is a wasteful number, since it uses less digits than its factorization.

448050807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 448050807360 in words is "four hundred forty-eight billion, fifty million, eight hundred seven thousand, three hundred sixty".