4443120 has 240 divisors, whose sum is σ = 17811360. Its totient is φ = 1013760.

The previous prime is 4443107. The next prime is 4443121. The reversal of 4443120 is 213444.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4443093 and 4443102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4443121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261352 + ... + 261368.

It is an arithmetic number, because the mean of its divisors is an integer number (74214).

Almost surely, 2^4443120 is an apocalyptic number.

4443120 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 4443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905680).

4443120 is an abundant number, since it is smaller than the sum of its proper divisors (13368240).

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

4443120 is a wasteful number, since it uses less digits than its factorization.

4443120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4443120 is about 2107.8709637926. The cubic root of 4443120 is about 164.3978048617.

Adding to 4443120 its reverse (213444), we get a palindrome (4656564).

It can be divided in two parts, 444 and 3120, that multiplied together give a triangular number (1385280 = T₁₆₆₄).

The spelling of 4443120 in words is "four million, four hundred forty-three thousand, one hundred twenty".