448272 has 60 divisors (see below), whose sum is σ = 1373424. Its totient is φ = 135360.

The previous prime is 448249. The next prime is 448303. The reversal of 448272 is 272844.

It is an unprimeable number.

448272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1443 + ... + 1725.

2⁴⁴⁸²⁷² 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 448272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686712).

448272 is an abundant number, since it is smaller than the sum of its proper divisors (925152).

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

448272 is a wasteful number, since it uses less digits than its factorization.

448272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 448272 is about 669.5311792590. The cubic root of 448272 is about 76.5327298113.

It can be divided in two parts, 4482 and 72, that added together give a palindrome (4554).

The spelling of 448272 in words is "four hundred forty-eight thousand, two hundred seventy-two".