448813328 has 80 divisors (see below), whose sum is σ = 948796416. Its totient is φ = 204871680.

The previous prime is 448813327. The next prime is 448813349. The reversal of 448813328 is 823318844.

It is not an unprimeable number, because it can be changed into a prime (448813327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2349713 + ... + 2349903.

Almost surely, 2^448813328 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 448813328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474398208).

448813328 is an abundant number, since it is smaller than the sum of its proper divisors (499983088).

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

448813328 is a wasteful number, since it uses less digits than its factorization.

448813328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its digits is 147456, while the sum is 41.

The square root of 448813328 is about 21185.2148443201. The cubic root of 448813328 is about 765.6352409415.

The spelling of 448813328 in words is "four hundred forty-eight million, eight hundred thirteen thousand, three hundred twenty-eight".