443920 has 40 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 170880.

The previous prime is 443917. The next prime is 443939. The reversal of 443920 is 29344.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 443891 and 443900.

It is an unprimeable number.

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, 2391 + ... + 2569.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2⁴⁴³⁹²⁰ is an apocalyptic number.

443920 is a gapful number since it is divisible by the number (40) 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 443920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

443920 is an abundant number, since it is smaller than the sum of its proper divisors (627440).

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

443920 is a wasteful number, since it uses less digits than its factorization.

443920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 443920 is about 666.2732172315. The cubic root of 443920 is about 76.2842540712.

The spelling of 443920 in words is "four hundred forty-three thousand, nine hundred twenty".