Number Gossip

(Enter a number and I'll tell you everything you wanted to know about it but were afraid to ask.)

Unique Properties of 432

  • An equilateral triangle whose area and perimeter are equal, has an area (and perimeter) equal to the square root of 432
  • 432 is the smallest number n such that n! is not divisible by the sum of the digits of n!
  • 432 is the smallest sum of consecutive cubes that is sandwiched between twin primes
  • 432 is the Achilles number whose double is also an Achilles number (Achilles numbers are powerful but not powers)
  • 432 is the smallest number such that, in its prime factorization, the product of the exponents equals the sum of the prime factors and exponents

Common Properties of 432

Abundant
Composite
Even
Evil
Powerful
Practical