448606791360 has 1344 divisors, whose sum is σ = 1958661868800. Its totient is φ = 93640458240.

The previous prime is 448606791343. The next prime is 448606791377. The reversal of 448606791360 is 63197606844.

448606791360 is a `hidden beast` number, since 448 + 6 + 0 + 67 + 9 + 136 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (448606791343) and next prime (448606791377).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 448606791297 and 448606791306.

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, 2324387424 + ... + 2324387616.

It is an arithmetic number, because the mean of its divisors is an integer number (1457337700).

Almost surely, 2^448606791360 is an apocalyptic number.

448606791360 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 448606791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979330934400).

448606791360 is an abundant number, since it is smaller than the sum of its proper divisors (1510055077440).

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

448606791360 is a wasteful number, since it uses less digits than its factorization.

448606791360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 448606791360 in words is "four hundred forty-eight billion, six hundred six million, seven hundred ninety-one thousand, three hundred sixty".