448985472 has 128 divisors (see below), whose sum is σ = 1309361760. Its totient is φ = 135462912.

The previous prime is 448985441. The next prime is 448985477. The reversal of 448985472 is 274589844.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448985477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263728 + ... + 265424.

Almost surely, 2^448985472 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 448985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654680880).

448985472 is an abundant number, since it is smaller than the sum of its proper divisors (860376288).

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

448985472 is a wasteful number, since it uses less digits than its factorization.

448985472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1768 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 448985472 is about 21189.2772882890. The cubic root of 448985472 is about 765.7331158318.

The spelling of 448985472 in words is "four hundred forty-eight million, nine hundred eighty-five thousand, four hundred seventy-two".