440000

440000 is a natural number that follows 439999 and precedes 440001. It is a highly composite-looking round number often encountered in mathematical examples and data sets.

The prime factorization of 440000 is 2^6 × 5^4 × 11. This makes the number divisible by 64, 625, and 11, and hence by 440000 itself as a product of these factors. It is equal to 44 × 10^4, highlighting its structure as a multiple of 10,000.

In terms of divisors, 440000 has 70 positive divisors. The sum of its divisors is 1,190,244. Euler’s totient function yields φ(440000) = 160,000, which counts the positive integers up to 440000 that are relatively prime to the number.

A notable timing-related fact is that 440000 seconds equates to 5 days, 2 hours, 13 minutes, and 20 seconds, illustrating how the number can appear in time calculations and conversions.

Beyond pure mathematics, 440000 may appear in practical contexts such as dataset identifiers or numeric codes in systems that use rounded, large-scale values. In postal and addressing schemes that employ six-digit numeric codes, 440000 can designate a specific locality, though the exact designation varies by country and system.

Overall, 440000 is a structured, composite number with a clear factorization, a substantial divisor count, and a compact time-representation interpretation.