448332 has 12 divisors (see below), whose sum is σ = 1046136. Its totient is φ = 149440.

The previous prime is 448321. The next prime is 448351. The reversal of 448332 is 233844.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 4⁴ + 4⁹ + 3⁴ + 8³ + 3¹¹ + 2¹³ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18669 + ... + 18692.

It is an arithmetic number, because the mean of its divisors is an integer number (87178).

2⁴⁴⁸³³² is an apocalyptic number.

It is an amenable number.

448332 is an abundant number, since it is smaller than the sum of its proper divisors (597804).

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

448332 is a wasteful number, since it uses less digits than its factorization.

448332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37368 (or 37366 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 448332 is about 669.5759852324. The cubic root of 448332 is about 76.5361442256.

It can be divided in two parts, 448 and 332, that added together give a triangular number (780 = T₃₉).

The spelling of 448332 in words is "four hundred forty-eight thousand, three hundred thirty-two".