462

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Number

$462$ (four hundred and sixty-two) is:

$2 \times 3 \times 7 \times 11$

The index (after $2$, $3$, $6$, $30$, $75$, $81$, $115$, $123$, $249$, $362$, $384$) of the $12$th Woodall prime:

$462 \times 2^{462} - 1$

The $2$nd positive integer after $38$ whose square ends in $444$:

$462^2 = \left({500 - 38}\right)^2 = \left({250 - 38}\right) \times 1000 + 1444 = 213 \, 144$

Also see

• Previous  ... Next: Integers whose Squares end in 444
• Previous  ... Next: Woodall Prime

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $462$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $462$