441632 has 24 divisors (see below), whose sum is σ = 895356. Its totient is φ = 214272.

The previous prime is 441631. The next prime is 441647. The reversal of 441632 is 236144.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 414736 + 26896 = 644^2 + 164^2 .

It is a d-powerful number, because it can be written as 4⁴ + 4⁹ + 6² + 1 + 3¹¹ + 2¹¹ .

It is not an unprimeable number, because it can be changed into a prime (441631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 998 + ... + 1370.

2⁴⁴¹⁶³² 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 441632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447678).

441632 is an abundant number, since it is smaller than the sum of its proper divisors (453724).

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

441632 is a wasteful number, since it uses less digits than its factorization.

441632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 441632 is about 664.5539857679. The cubic root of 441632 is about 76.1529698334.

Adding to 441632 its reverse (236144), we get a palindrome (677776).

The spelling of 441632 in words is "four hundred forty-one thousand, six hundred thirty-two".