350420

350,420 is a natural number that lies between 350,419 and 350,421. It is an even composite number with a prime factorization of 2^2 × 5 × 7 × 2503. This factorization shows that the number has 24 divisors in total.

The sum of all divisors of 350,420 equals 841,344, which implies a sum of proper divisors (excluding the number itself) of 490,924. Since the proper divisors sum exceeds the number, 350,420 is classified as an abundant number. This property places it among numbers that have a larger total of divisors than the number itself.

In terms of divisibility, 350,420 is divisible by 20 (and therefore by 4 and 5). Dividing by 20 yields 17,521, which factors further as 7 × 2,503; here, 2,503 is a prime number. The factorization also confirms divisibility by 7 and by 2503, since 350,420 = 140 × 2,503.

As a mathematical object, 350,420 has no widely recognized special status beyond its arithmetic properties. It serves as an example of an even, abundant, composite number with a relatively large prime factor, illustrating how prime power structures influence divisor counts and sums.