Adding to 413 its reverse (314), we get a palindrome (727).
Subtracting from 413 its reverse (314), we obtain a palindrome (99).
It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 314 = 2 ⋅157.
It is a cyclic number.
It is a Duffinian number.
It is a Curzon number.
It is a plaindrome in base 11, base 13 and base 16.
It is a self number, because there is not a number n which added to its sum of digits gives 413.
It is a congruent number.
It is a panconsummate number.
It is an amenable number.
413 is an equidigital number, since it uses as much as digits as its factorization.
413 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 66.
The square root of 413 is about 20.3224014329. The cubic root of 413 is about 7.4470342383.
The spelling of 413 in words is "four hundred thirteen", and thus it is an aban number.