435

Number
$435$ (four hundred and thirty-five) is:


 * $3 \times 5 \times 29$


 * The $52$nd sphenic number after $30$, $42$, $66$, $70$, $\ldots$, $385$, $399$, $402$, $406$, $410$, $418$, $426$, $429$, $430$, $434$:
 * $435 = 3 \times 5 \times 29$


 * The $29$th triangular number after $1, 3, 6, 10, 15, \ldots, 325, 351, 378, 406$:
 * $435 = \displaystyle \sum_{k \mathop = 1}^{29} k = \dfrac {29 \times \left({29 + 1}\right)} 2$


 * The $15$th hexagonal number after $1, 6, 15, 28, 45, 66, 91, 120, 153, 190, 231, 276, 325, 378$:
 * $435 = \displaystyle \sum_{k \mathop = 1}^{15} \left({4 k - 3}\right) = 15 \left({2 \times 15 - 1}\right)$