448032 has 48 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 137472.

The previous prime is 448031. The next prime is 448057. The reversal of 448032 is 230844.

It is a happy number.

448032 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448032.

It is not an unprimeable number, because it can be changed into a prime (448031) 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, 1069 + ... + 1427.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁴⁴⁸⁰³² 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 448032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

448032 is an abundant number, since it is smaller than the sum of its proper divisors (822048).

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

448032 is a wasteful number, since it uses less digits than its factorization.

448032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 448032 is about 669.3519253726. The cubic root of 448032 is about 76.5190691067.

Adding to 448032 its reverse (230844), we get a palindrome (678876).

The spelling of 448032 in words is "four hundred forty-eight thousand, thirty-two".