456

Names of 456

• Cardinal: 456 can be written as Four hundred fifty-six.

Scientific notation

• Scientific notation: 4.56 × 10²

Factors of 456

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 24

Divisors of 456

• Number of divisors d(n): 16
• Complete list of divisors:
  1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456
• Sum of all divisors σ(n): 1200
• Sum of proper divisors (its aliquot sum) s(n): 744
• 456 is an abundant number, because the sum of its proper divisors (744) is greater than itself. Its abundance is 288

Bases of 456

• Binary: 111001000₂
• Hexadecimal: 0x1C8
• Base-36: CO

Squares and roots of 456

• 456 squared (456²) is 207936
• 456 cubed (456³) is 94818816
• The square root of 456 is 21.3541565041
• The cube root of 456 is 7.6970022625

Scales and comparisons

• 456 seconds is equal to 7 minutes, 36 seconds.
• To count from 1 to 456 would take you about three 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 456 cubic inches would be around 0.6 feet tall.

Recreational maths with 456

• 456 backwards is 654
• The number of decimal digits it has is: 3
• The sum of 456's digits is 15
• More coming soon!