4446 has 24 divisors (see below), whose sum is σ = 10920.
Its totient is φ = 1296.
The previous prime is 4441. The next prime is 4447. The reversal of 4446 is 6444.
4446 is nontrivially palindromic in base 7.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is a plaindrome in base 10 and base 16.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4441) 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 11 ways as a sum of consecutive naturals, for example, 225 + ... + 243.
It is an arithmetic number, because the mean of its divisors is an integer number (455).
4446 is the 36-th nonagonal number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460).
4446 is an abundant number, since it is smaller than the sum of its proper divisors (6474).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4446 is a wasteful number, since it uses less digits than its factorization.
4446 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40 (or 37 counting only the distinct ones).
The product of its digits is 384, while the sum is 18.
The square root of 4446 is about 66.6783323127.
The cubic root of 4446 is about 16.4433317701.
The spelling of 4446 in words is "four thousand, four hundred forty-six".