448966656 has 156 divisors (see below), whose sum is σ = 1367241720. Its totient is φ = 141557760.

The previous prime is 448966643. The next prime is 448966663. The reversal of 448966656 is 656669844.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700096 + ... + 700736.

It is an arithmetic number, because the mean of its divisors is an integer number (8764370).

Almost surely, 2^448966656 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 448966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683620860).

448966656 is an abundant number, since it is smaller than the sum of its proper divisors (918275064).

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

448966656 is a wasteful number, since it uses less digits than its factorization.

448966656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 665 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 448966656 is about 21188.8332854832. The cubic root of 448966656 is about 765.7224189485.

The spelling of 448966656 in words is "four hundred forty-eight million, nine hundred sixty-six thousand, six hundred fifty-six".