413224 has 32 divisors (see below), whose sum is σ = 910080. Its totient is φ = 172224.

The previous prime is 413207. The next prime is 413233. The reversal of 413224 is 422314.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 413198 and 413207.

It is a congruent number.

It is an unprimeable number.

413224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2554 + ... + 2710.

It is an arithmetic number, because the mean of its divisors is an integer number (28440).

2⁴¹³²²⁴ 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 413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455040).

413224 is an abundant number, since it is smaller than the sum of its proper divisors (496856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413224 is a wasteful number, since it uses less digits than its factorization.

413224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its digits is 192, while the sum is 16.

The square root of 413224 is about 642.8250150702. The cubic root of 413224 is about 74.4838035148.

Adding to 413224 its reverse (422314), we get a palindrome (835538).

The spelling of 413224 in words is "four hundred thirteen thousand, two hundred twenty-four".