4189944 has 64 divisors (see below), whose sum is σ = 11664000. Its totient is φ = 1243520.

The previous prime is 4189903. The next prime is 4189951. The reversal of 4189944 is 4499814.

4189944 = T₂₄ + T₂₅ + ... + T₂₉₂.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15442 + ... + 15710.

It is an arithmetic number, because the mean of its divisors is an integer number (182250).

Almost surely, 2^4189944 is an apocalyptic number.

4189944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4189944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832000).

4189944 is an abundant number, since it is smaller than the sum of its proper divisors (7474056).

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

4189944 is a wasteful number, since it uses less digits than its factorization.

4189944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 4189944 is about 2046.9352701050. The cubic root of 4189944 is about 161.2139947253.

The spelling of 4189944 in words is "four million, one hundred eighty-nine thousand, nine hundred forty-four".