4432120 has 64 divisors (see below), whose sum is σ = 12441600. Its totient is φ = 1380480.

The previous prime is 4432097. The next prime is 4432151. The reversal of 4432120 is 212344.

It is a junction number, because it is equal to n+sod(n) for n = 4432094 and 4432103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2361 + ... + 3799.

It is an arithmetic number, because the mean of its divisors is an integer number (194400).

Almost surely, 2^4432120 is an apocalyptic number.

4432120 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 4432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220800).

4432120 is an abundant number, since it is smaller than the sum of its proper divisors (8009480).

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

4432120 is a wasteful number, since it uses less digits than its factorization.

4432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4432120 is about 2105.2600789451. The cubic root of 4432120 is about 164.2620241293.

Adding to 4432120 its reverse (212344), we get a palindrome (4644464).

The spelling of 4432120 in words is "four million, four hundred thirty-two thousand, one hundred twenty".