440832 has 80 divisors (see below), whose sum is σ = 1374912. Its totient is φ = 122880.

The previous prime is 440831. The next prime is 440849. The reversal of 440832 is 238044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 440799 and 440808.

It is not an unprimeable number, because it can be changed into a prime (440831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10732 + ... + 10772.

2⁴⁴⁰⁸³² is an apocalyptic number.

440832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687456).

440832 is an abundant number, since it is smaller than the sum of its proper divisors (934080).

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

440832 is an equidigital number, since it uses as much as digits as its factorization.

440832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 53 counting only the distinct ones).

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

The square root of 440832 is about 663.9518054799. The cubic root of 440832 is about 76.1069592792.

Adding to 440832 its reverse (238044), we get a palindrome (678876).

The spelling of 440832 in words is "four hundred forty thousand, eight hundred thirty-two".