448844832 has 144 divisors (see below), whose sum is σ = 1343585880. Its totient is φ = 141926400.

The previous prime is 448844821. The next prime is 448844849. The reversal of 448844832 is 238448844.

It can be written as a sum of positive squares in 4 ways, for example, as 191434896 + 257409936 = 13836^2 + 16044^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 509032 + ... + 509912.

Almost surely, 2^448844832 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 448844832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671792940).

448844832 is an abundant number, since it is smaller than the sum of its proper divisors (894741048).

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

448844832 is a wasteful number, since it uses less digits than its factorization.

448844832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 976 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The square root of 448844832 is about 21185.9583686932. The cubic root of 448844832 is about 765.6531548541.

The spelling of 448844832 in words is "four hundred forty-eight million, eight hundred forty-four thousand, eight hundred thirty-two".