429

Number
$429$ (four hundred and twenty-nine) is:


 * $3 \times 11 \times 13$


 * The $49$th sphenic number after $30$, $42$, $66$, $70$, $\ldots$, $385$, $399$, $402$, $406$, $410$, $418$, $426$:
 * $429 = 3 \times 11 \times 13$


 * The $7$th Catalan number after $(1)$, $1$, $2$, $5$, $14$, $42$, $132$:
 * $\dfrac 1 {7 + 1} \dbinom {2 \times 7} 7 = \dfrac 1 8 \times 3432 = 429$