7440

7440 is a natural number that follows 7439 and precedes 7441. It is an even and composite integer with a prime factorization of 2^4 × 3 × 5 × 31, showing that it can be written as 16 × 465 or as 31 × 240.

In base 10, 7440 ends with a zero, reflecting its divisibility by 2 and by 5. It is divisible by 16 and by 31, with corresponding quotients 465 and 240, respectively. The factorization also confirms divisibility by many other integers, making it a highly composite-like structure in terms of factor combinations, though it is not itself a highly composite number.

The sum of all positive divisors of 7440 is 23,808; the sum of its proper divisors (excluding the number itself) is 16,368. Because this sum exceeds 7,440, 7440 is classified as an abundant number in number theory.

Additionally, 7440 is a Harshad (Niven) number in base 10 since the digit sum is 7 + 4 + 4 + 0 = 15, and 15 divides 7,440. This places it among numbers that are divisible by the sum of their own digits.

As a mathematical object, 7440 serves as a representative example of a composite, even, abundant integer with a rich factorization structure and multiple simple divisibility properties.