448872 has 32 divisors (see below), whose sum is σ = 1144800. Its totient is φ = 146624.

The previous prime is 448871. The next prime is 448873. The reversal of 448872 is 278844.

It is an interprime number because it is at equal distance from previous prime (448871) and next prime (448873).

It is not an unprimeable number, because it can be changed into a prime (448871) 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, 1258 + ... + 1574.

It is an arithmetic number, because the mean of its divisors is an integer number (35775).

2⁴⁴⁸⁸⁷² 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 448872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572400).

448872 is an abundant number, since it is smaller than the sum of its proper divisors (695928).

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

448872 is a wasteful number, since it uses less digits than its factorization.

448872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 381 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 448872 is about 669.9791041518. The cubic root of 448872 is about 76.5668602542.

It can be divided in two parts, 4488 and 72, that added together give a triangular number (4560 = T₉₅).

The spelling of 448872 in words is "four hundred forty-eight thousand, eight hundred seventy-two".