448534560 has 96 divisors (see below), whose sum is σ = 1416647232. Its totient is φ = 119290880.

The previous prime is 448534549. The next prime is 448534607. The reversal of 448534560 is 65435844.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220267 + ... + 222293.

It is an arithmetic number, because the mean of its divisors is an integer number (14756742).

Almost surely, 2^448534560 is an apocalyptic number.

448534560 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 448534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708323616).

448534560 is an abundant number, since it is smaller than the sum of its proper divisors (968112672).

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

448534560 is a wasteful number, since it uses less digits than its factorization.

448534560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 448534560 is about 21178.6345168899. The cubic root of 448534560 is about 765.4766903842.

The spelling of 448534560 in words is "four hundred forty-eight million, five hundred thirty-four thousand, five hundred sixty".