495

Number
$495$ (four hundred and ninety-five) is:


 * $3^2 \times 5 \times 11$


 * The $9$th pentatope number after $1$, $5$, $15$, $35$, $70$, $126$, $210$, $330$:
 * $495 = \displaystyle \sum_{k \mathop = 1}^9 \dfrac {k \paren {k + 1} \paren {k + 2} } 6 = \dfrac {9 \paren {9 + 1} \paren {9 + 2} \paren {9 + 3} } {24}$


 * The $18$th second pentagonal number after $2$, $7$, $15$, $26$, $40$, $57$, $77$, $100$, $126$, $155$, $187$, $222$, $260$, $301$, $345$, $392$, $442$:
 * $495 = \dfrac {18 \paren {3 \times 18 + 1} } 2$


 * The $36$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $222$, $247$, $260$, $287$, $301$, $330$, $345$, $376$, $392$, $425$, $442$, $477$:
 * $495 = \dfrac {18 \paren {3 \times 18 + 1} } 2$


 * Kaprekar's process, when applied to a $3$-digit integer whose digits are not all the same, results in $495$ after no more than $6$ iterations.

Also see

 * Kaprekar's Process on 3 Digit Number ends in 495