4409984 has 32 divisors (see below), whose sum is σ = 8886240. Its totient is φ = 2179840.

The previous prime is 4409981. The next prime is 4410019. The reversal of 4409984 is 4899044.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (4409981) 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 3 ways as a sum of consecutive naturals, for example, 16637 + ... + 16899.

It is an arithmetic number, because the mean of its divisors is an integer number (277695).

Almost surely, 2^4409984 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 4409984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443120).

4409984 is an abundant number, since it is smaller than the sum of its proper divisors (4476256).

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

4409984 is a wasteful number, since it uses less digits than its factorization.

4409984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 4409984 is about 2099.9961904727. The cubic root of 4409984 is about 163.9881014568.

The spelling of 4409984 in words is "four million, four hundred nine thousand, nine hundred eighty-four".