2401

Number
$2401$ (two thousand four hundred and one) is:


 * $7^4$


 * The $49$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $1296$, $1369$, $1444$, $1521$, $1600$, $1681$, $1764$, $1849$, $1936$, $2025$, $2116$, $2209$, $2304$:
 * $2401 = 49 \times 49$


 * The $7$th fourth power after $1$, $16$, $81$, $256$, $625$, $1296$:
 * $2401 = 7 \times 7 \times 7 \times 7$


 * The smallest $4$th power that can be expressed as the sum of $2$ $4$th powers minus a $3$rd with all numbers less than $10^4$:
 * $2401 = 7^4 = 227^4 + 157^4 - 239^4$

Also see

 * Fourth Powers as Sums and Differences of Fourth Powers