4404120 has 128 divisors (see below), whose sum is σ = 15552000. Its totient is φ = 997248.

The previous prime is 4404107. The next prime is 4404121. The reversal of 4404120 is 214044.

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 4404120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41107 + ... + 41213.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

Almost surely, 2^4404120 is an apocalyptic number.

4404120 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 4404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776000).

4404120 is an abundant number, since it is smaller than the sum of its proper divisors (11147880).

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

4404120 is a wasteful number, since it uses less digits than its factorization.

4404120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4404120 is about 2098.5995330220. The cubic root of 4404120 is about 163.9153836744.

Adding to 4404120 its reverse (214044), we get a palindrome (4618164).

It can be divided in two parts, 440 and 4120, that added together give a triangular number (4560 = T₉₅).

The spelling of 4404120 in words is "four million, four hundred four thousand, one hundred twenty".