448235948160 has 2304 divisors, whose sum is σ = 2215828742400. Its totient is φ = 80617144320.

The previous prime is 448235948033. The next prime is 448235948161. The reversal of 448235948160 is 61849532844.

448235948160 is a `hidden beast` number, since 4 + 48 + 2 + 3 + 594 + 8 + 1 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 448235948097 and 448235948106.

It is not an unprimeable number, because it can be changed into a prime (448235948161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1666304506 + ... + 1666304774.

It is an arithmetic number, because the mean of its divisors is an integer number (961731225).

Almost surely, 2^448235948160 is an apocalyptic number.

448235948160 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 448235948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107914371200).

448235948160 is an abundant number, since it is smaller than the sum of its proper divisors (1767592794240).

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

448235948160 is a wasteful number, since it uses less digits than its factorization.

448235948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 448235948160 in words is "four hundred forty-eight billion, two hundred thirty-five million, nine hundred forty-eight thousand, one hundred sixty".