480

Names of 480

• Cardinal: 480 can be written as Four hundred eighty.

Scientific notation

• Scientific notation: 4.8 × 10²

Factors of 480

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 10

Divisors of 480

• Number of divisors d(n): 24
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480
• Sum of all divisors σ(n): 1512
• Sum of proper divisors (its aliquot sum) s(n): 1032
• 480 is an abundant number, because the sum of its proper divisors (1032) is greater than itself. Its abundance is 552

Bases of 480

• Binary: 111100000₂
• Hexadecimal: 0x1E0
• Base-36: DC

Squares and roots of 480

• 480 squared (480²) is 230400
• 480 cubed (480³) is 110592000
• The square root of 480 is 21.9089023001
• The cube root of 480 is 7.8297352823

Scales and comparisons

• 480 seconds is equal to 8 minutes.
• To count from 1 to 480 would take you about four minutes.

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 480 cubic inches would be around 0.7 feet tall.

Recreational maths with 480

• 480 backwards is 084
• 480 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 480's digits is 12
• More coming soon!