413320221 has 12 divisors (see below), whose sum is σ = 611580060. Its totient is φ = 268825920.

The previous prime is 413320217. The next prime is 413320231. The reversal of 413320221 is 122023314.

413320221 is a `hidden beast` number, since 413 + 32 + 0 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 144720900 + 268599321 = 12030^2 + 16389^2 .

It is not a de Polignac number, because 413320221 - 2² = 413320217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413320194 and 413320203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413320211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559686 + ... + 560423.

It is an arithmetic number, because the mean of its divisors is an integer number (50965005).

Almost surely, 2^413320221 is an apocalyptic number.

413320221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

413320221 is a deficient number, since it is larger than the sum of its proper divisors (198259839).

413320221 is a wasteful number, since it uses less digits than its factorization.

413320221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120156 (or 1120153 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413320221 is about 20330.2784289837. The cubic root of 413320221 is about 744.8958435834.

Adding to 413320221 its reverse (122023314), we get a palindrome (535343535).

The spelling of 413320221 in words is "four hundred thirteen million, three hundred twenty thousand, two hundred twenty-one".