448383816 has 96 divisors (see below), whose sum is σ = 1271172000. Its totient is φ = 146442816.

The previous prime is 448383809. The next prime is 448383829. The reversal of 448383816 is 618383844.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606375 + ... + 607113.

It is an arithmetic number, because the mean of its divisors is an integer number (13241375).

Almost surely, 2^448383816 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 448383816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635586000).

448383816 is an abundant number, since it is smaller than the sum of its proper divisors (822788184).

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

448383816 is a wasteful number, since it uses less digits than its factorization.

448383816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 797 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 448383816 is about 21175.0753481540. The cubic root of 448383816 is about 765.3909266863.

The spelling of 448383816 in words is "four hundred forty-eight million, three hundred eighty-three thousand, eight hundred sixteen".