# 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 459

- 459 is the smallest number n such that if you subtract it from its reversal you get a natural number with the same digits as n: 954 - 459 = 495
- 459 is the smallest number such that the product of its digits is 10 times their sum
- 459 is the smallest number such that the average of primes of itself and its successor is the same
- 459 is the smallest 3-digit number n such there exist to other 3-digit numbers with the sum of n and so that all three numbers collectively use digits 1 through 9 once (459 - 173 = 286)
- 459 is the smallest solution to x + φ(x) = σ(x)/2