443664 has 80 divisors (see below), whose sum is σ = 1388800. Its totient is φ = 134784.

The previous prime is 443659. The next prime is 443687. The reversal of 443664 is 466344.

443664 = T₆₄ + T₆₅ + ... + T₁₄₂.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

443664 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 5577 + ... + 5655.

It is an arithmetic number, because the mean of its divisors is an integer number (17360).

2⁴⁴³⁶⁶⁴ 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 443664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694400).

443664 is an abundant number, since it is smaller than the sum of its proper divisors (945136).

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

443664 is a wasteful number, since it uses less digits than its factorization.

443664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 97 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 443664 is about 666.0810761461. The cubic root of 443664 is about 76.2695873714.

The spelling of 443664 in words is "four hundred forty-three thousand, six hundred sixty-four".