443916 has 72 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 125280.

The previous prime is 443909. The next prime is 443917. The reversal of 443916 is 619344.

It is a super-2 number, since 2×443916² = 394122830112, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 443916.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 443916.

It is not an unprimeable number, because it can be changed into a prime (443917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7495 + ... + 7553.

It is an arithmetic number, because the mean of its divisors is an integer number (18200).

2⁴⁴³⁹¹⁶ 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 443916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

443916 is an abundant number, since it is smaller than the sum of its proper divisors (866484).

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

443916 is a wasteful number, since it uses less digits than its factorization.

443916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 94 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 443916 is about 666.2702154532. The cubic root of 443916 is about 76.2840249474.

The spelling of 443916 in words is "four hundred forty-three thousand, nine hundred sixteen".