477
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Number
$477$ (four hundred and seventy-seven) is:
- $3^2 \times 53$
- The $18$th pentagonal number after $1$, $5$, $12$, $22$, $35$, $51$, $70$, $92$, $117$, $145$, $176$, $210$, $247$, $287$, $330$, $330$, $376$, $425$:
- $477 = \ds \sum_{k \mathop = 1}^{18} \paren {3 k - 2} = \dfrac {18 \paren {3 \times 18 - 1} } 2$
- The $35$th generalized pentagonal number after $1$, $2$, $5$, $7$, $12$, $15$, $\ldots$, $222$, $247$, $260$, $287$, $301$, $330$, $345$, $376$, $392$, $425$, $442$:
- $477 = \ds \sum_{k \mathop = 1}^{18} \paren {3 k - 2} = \dfrac {18 \paren {3 \times 18 - 1} } 2$