4084444 has 48 divisors (see below), whose sum is σ = 9016000. Its totient is φ = 1608768.

The previous prime is 4084439. The next prime is 4084517. The reversal of 4084444 is 4444804.

It is a Harshad number since it is a multiple of its sum of digits (28).

4084444 is a modest number, since divided by 4444 gives 408 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17722 + ... + 17950.

Almost surely, 2^4084444 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 4084444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508000).

4084444 is an abundant number, since it is smaller than the sum of its proper divisors (4931556).

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

4084444 is a wasteful number, since it uses less digits than its factorization.

4084444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 4084444 is about 2021.0007422067. Note that the first 3 decimals coincide. The cubic root of 4084444 is about 159.8493895225.

The spelling of 4084444 in words is "four million, eighty-four thousand, four hundred forty-four".