420000

420000 is a natural number that follows 419999 and precedes 420001. In decimal notation it is written as 420000 and is commonly encountered as a round, approximate value in statistics, budgeting, and large-scale data counts.

Mathematically, 420000 has the prime factorization 2^5 × 3 × 5^4 × 7. It is an even, composite number with 120 positive divisors. The sum of all its divisors (including itself) is 1,574,496, which makes the sum of proper divisors equal to 1,154,496. Because the sum of proper divisors exceeds 420000, 420000 is classified as an abundant number, with an abundance ratio of about 2.75.

As a representation, 420000 is 4.2 × 10^5 in scientific notation and can be expressed as 420 × 1000 or 42 × 10,000. Its large factorization into small primes (2, 3, 5, and 7) reflects its composition from common base factors used in arithmetic and number theory.

In cultural and practical contexts, 420000 often serves as a convenient benchmark for estimates and sample sizes, given its status as a round figure near the midpoint of the five-digit to six-digit range. Beyond these mathematical and practical notes, 420000 does not have a singular unique significance and is typically treated as a large, round integer within numeric discussions.