448430942160 has 240 divisors, whose sum is σ = 1526613004800. Its totient is φ = 117946423296.

The previous prime is 448430942147. The next prime is 448430942161. The reversal of 448430942160 is 61249034844.

448430942160 is a `hidden beast` number, since 4 + 484 + 3 + 0 + 9 + 4 + 2 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448430942161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64214029 + ... + 64221011.

It is an arithmetic number, because the mean of its divisors is an integer number (6360887520).

Almost surely, 2^448430942160 is an apocalyptic number.

448430942160 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 448430942160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763306502400).

448430942160 is an abundant number, since it is smaller than the sum of its proper divisors (1078182062640).

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

448430942160 is a wasteful number, since it uses less digits than its factorization.

448430942160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8210 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 448430942160 in words is "four hundred forty-eight billion, four hundred thirty million, nine hundred forty-two thousand, one hundred sixty".