448643872 has 48 divisors (see below), whose sum is σ = 939156120. Its totient is φ = 210239488.

The previous prime is 448643861. The next prime is 448643879. The reversal of 448643872 is 278346844.

It can be written as a sum of positive squares in 4 ways, for example, as 442513296 + 6130576 = 21036^2 + 2476^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (448643879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138204 + ... + 141412.

Almost surely, 2^448643872 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 448643872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469578060).

448643872 is an abundant number, since it is smaller than the sum of its proper divisors (490512248).

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

448643872 is a wasteful number, since it uses less digits than its factorization.

448643872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3485 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 46.

The square root of 448643872 is about 21181.2150737393. The cubic root of 448643872 is about 765.5388699045.

It can be divided in two parts, 4486438 and 72, that added together give a triangular number (4486510 = T₂₉₉₅).

The spelling of 448643872 in words is "four hundred forty-eight million, six hundred forty-three thousand, eight hundred seventy-two".