448686816 has 96 divisors (see below), whose sum is σ = 1210567680. Its totient is φ = 145445376.

The previous prime is 448686803. The next prime is 448686859. The reversal of 448686816 is 618686844.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249645 + ... + 1250003.

It is an arithmetic number, because the mean of its divisors is an integer number (12610080).

Almost surely, 2^448686816 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 448686816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605283840).

448686816 is an abundant number, since it is smaller than the sum of its proper divisors (761880864).

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

448686816 is a wasteful number, since it uses less digits than its factorization.

448686816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 688 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 448686816 is about 21182.2287779166. The cubic root of 448686816 is about 765.5632948099.

The spelling of 448686816 in words is "four hundred forty-eight million, six hundred eighty-six thousand, eight hundred sixteen".