9444240 has 120 divisors (see below), whose sum is σ = 34190520. Its totient is φ = 2322432.

The previous prime is 9444221. The next prime is 9444247. The reversal of 9444240 is 424449.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 9437184 = 84^2 + 3072^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (9444247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8856 + ... + 9864.

It is an arithmetic number, because the mean of its divisors is an integer number (284921).

Almost surely, 2^9444240 is an apocalyptic number.

9444240 is a gapful number since it is divisible by the number (90) 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 9444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095260).

9444240 is an abundant number, since it is smaller than the sum of its proper divisors (24746280).

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

9444240 is a wasteful number, since it uses less digits than its factorization.

9444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 9444240 is about 3073.1482229141. The cubic root of 9444240 is about 211.3759982679.

Adding to 9444240 its reverse (424449), we get a palindrome (9868689).

It can be divided in two parts, 944 and 4240, that added together give a square (5184 = 72²).

The spelling of 9444240 in words is "nine million, four hundred forty-four thousand, two hundred forty".