4431120 has 80 divisors (see below), whose sum is σ = 14136000. Its totient is φ = 1147392.

The previous prime is 4431103. The next prime is 4431127. The reversal of 4431120 is 211344.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4431120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8631 + ... + 9129.

It is an arithmetic number, because the mean of its divisors is an integer number (176700).

Almost surely, 2^4431120 is an apocalyptic number.

4431120 is a gapful number since it is divisible by the number (40) 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 4431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068000).

4431120 is an abundant number, since it is smaller than the sum of its proper divisors (9704880).

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

4431120 is a wasteful number, since it uses less digits than its factorization.

4431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4431120 is about 2105.0225651997. The cubic root of 4431120 is about 164.2496692908.

Adding to 4431120 its reverse (211344), we get a palindrome (4642464).

The spelling of 4431120 in words is "four million, four hundred thirty-one thousand, one hundred twenty".