4440

4440 is a positive integer that follows 4439 and precedes 4441. It is an even, composite number with prime factorization 2^3 × 3 × 5 × 37, which explains its many divisors.

The number has 32 positive divisors. The sum of all its divisors is 13,680, so the sum of its proper divisors is 9,240. This makes 4440 an abundant number, since the sum of its proper divisors exceeds the number itself. It is also a Harshad (Niven) number in base 10, because 4 + 4 + 4 + 0 = 12 and 4440 is divisible by 12. It is a multiple of 60 (4440 = 60 × 74) and hence divisible by 4, 5, 12, and other factors derived from its prime components.

In common numeral representations, 4440 is 0x1158 in hexadecimal and 1000101011000 in binary. In Roman numerals, it is often written as MMMMCDXL, noting that overline notation for 4000 is another historical convention.

Because of its factorization, 4440 frequently appears in mathematical examples involving divisors, multiples, and sums of divisors. Its relatively large number of small prime factors makes it a convenient test case for arithmetic properties and divisor-related problems.