470520

470,520 is a natural number that follows 470,519 and precedes 470,521. In prime factorization terms it equals 2^3 × 3^2 × 5 × 1307, where 1307 is a prime number. This makes the number even and composite.

The factorization reveals several divisibility properties. It is divisible by 2, 3, 5, and by higher powers such as 8 and 9. It is also divisible by 40 and by 360, since 470,520 = 40 × 11,763 = 360 × 1,307.

470,520 has 48 positive divisors, as determined from its prime factorization: (3+1) × (2+1) × (1+1) × (1+1) = 4 × 3 × 2 × 2 = 48. The sum of all divisors (including itself) is 1,530,360, so the sum of proper divisors is 1,059,840. Because the sum of proper divisors exceeds the number itself, 470,520 is an abundant number, with an abundance of 589,320.

The digital root of 470,520 is 9, since the sum of its digits is 4+7+0+5+2+0 = 18, and 1+8 = 9. The presence of the factor 1307, which is prime, is notable within the overall factorization.

In summary, 470,520 is an even, abundant, 48-divisor composite number with a prime factorization of 2^3 × 3^2 × 5 × 1307. It has no widely recognized special significance beyond its arithmetic properties.