448192 has 28 divisors (see below), whose sum is σ = 914400. Its totient is φ = 217856.

The previous prime is 448187. The next prime is 448193. The reversal of 448192 is 291844.

448192 is nontrivially palindromic in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 448192.

It is not an unprimeable number, because it can be changed into a prime (448193) by changing a digit.

448192 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 3 ways as a sum of consecutive naturals, for example, 2934 + ... + 3082.

2⁴⁴⁸¹⁹² 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 448192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457200).

448192 is an abundant number, since it is smaller than the sum of its proper divisors (466208).

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

448192 is a wasteful number, since it uses less digits than its factorization.

448192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 448192 is about 669.4714332964. The cubic root of 448192 is about 76.5281767850.

The spelling of 448192 in words is "four hundred forty-eight thousand, one hundred ninety-two".