412

Number
$412$ (four hundred and twelve) is:


 * $2^2 \times 103$


 * The $4$th positive integer $n$ after $157$, $262$, $367$ for which $\map \phi {2 n + 1} < \map \phi {2 n}$:
 * $\map \phi {2 \times 412 + 1} = 400$, $\map \phi {2 \times 412} = 408$


 * The $42$nd noncototient after $10$, $26$, $34$, $50$, $\ldots$, $344$, $346$, $362$, $366$, $372$, $386$, $394$, $404$:
 * $\nexists m \in \Z_{>0}: m - \map \phi m = 412$
 * where $\map \phi m$ denotes the Euler $\phi$ function