4431168 has 126 divisors (see below), whose sum is σ = 14868906. Its totient is φ = 1257984.

The previous prime is 4431151. The next prime is 4431187. The reversal of 4431168 is 8611344.

It can be written as a sum of positive squares in only one way, i.e., 3415104 + 1016064 = 1848^2 + 1008^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28146 + ... + 28302.

Almost surely, 2^4431168 is an apocalyptic number.

4431168 is a gapful number since it is divisible by the number (48) 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 4431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7434453).

4431168 is an abundant number, since it is smaller than the sum of its proper divisors (10437738).

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

4431168 is a wasteful number, since it uses less digits than its factorization.

4431168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4431168 is about 2105.0339664718. The cubic root of 4431168 is about 164.2502623655.

The spelling of 4431168 in words is "four million, four hundred thirty-one thousand, one hundred sixty-eight".