448141568 has 144 divisors (see below), whose sum is σ = 1087865856. Its totient is φ = 180111360.

The previous prime is 448141559. The next prime is 448141601. The reversal of 448141568 is 865141844.

It is a happy number.

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, 3420863 + ... + 3420993.

It is an arithmetic number, because the mean of its divisors is an integer number (7554624).

Almost surely, 2^448141568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448141568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543932928).

448141568 is an abundant number, since it is smaller than the sum of its proper divisors (639724288).

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

448141568 is a wasteful number, since it uses less digits than its factorization.

448141568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its digits is 122880, while the sum is 41.

The square root of 448141568 is about 21169.3544540215. The cubic root of 448141568 is about 765.2530627879.

The spelling of 448141568 in words is "four hundred forty-eight million, one hundred forty-one thousand, five hundred sixty-eight".