Multipling 393216 by its sum of digits (24), we get a square (9437184 = 30722).
393216 divided by its sum of digits (24) gives a 14-th power (16384 = 214).
It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)14.
It is a nialpdrome in base 2 and base 16.
It is a zygodrome in base 2.
It is a congruent number.
It is an unprimeable number.
393216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
In principle, a polygon with 393216 sides can be constructed with ruler and compass.
393216 is a Friedman number, since it can be written as 12/(3/96)^3, using all its digits and the basic arithmetic operations.
2393216 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524286).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
393216 is an frugal number, since it uses more digits than its factorization.
393216 is an evil number, because the sum of its binary digits is even.
The square root of 393216 is about 627.0693741525. The cubic root of 393216 is about 73.2617115234.
The spelling of 393216 in words is "three hundred ninety-three thousand, two hundred sixteen".