466

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Number

$466$ (four hundred and sixty-six) is:

$2 \times 233$

The $44$th noncototient after $10$, $26$, $34$, $50$, $\ldots$, $344$, $346$, $362$, $366$, $372$, $386$, $394$, $404$, $412$, $436$:

$\nexists m \in \Z_{>0}: m - \phi \left({m}\right) = 466$

where $\phi \left({m}\right)$ denotes the Euler $\phi$ function

The largest positive integer which cannot be expressed as the sum of less than $32$ positive fifth powers:

$466 = 18 \times 1^5 + 14 \times 2^5$

Also see

• Largest Number not Expressible as Sum of Less than 32 Positive Fifth Powers

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Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $466$