413032221 has 72 divisors (see below), whose sum is σ = 755197560. Its totient is φ = 215986176.

The previous prime is 413032199. The next prime is 413032223. The reversal of 413032221 is 122230314.

413032221 is a `hidden beast` number, since 413 + 0 + 32 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137804121 + 275228100 = 11739^2 + 16590^2 .

It is not a de Polignac number, because 413032221 - 2⁷ = 413032093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413032194 and 413032203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413032223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 276645 + ... + 278133.

It is an arithmetic number, because the mean of its divisors is an integer number (10488855).

Almost surely, 2^413032221 is an apocalyptic number.

It is an amenable number.

413032221 is a deficient number, since it is larger than the sum of its proper divisors (342165339).

413032221 is a wasteful number, since it uses less digits than its factorization.

413032221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1553 counting only the distinct ones).

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

The square root of 413032221 is about 20323.1941633199. The cubic root of 413032221 is about 744.7227898273.

Adding to 413032221 its reverse (122230314), we get a palindrome (535262535).

The spelling of 413032221 in words is "four hundred thirteen million, thirty-two thousand, two hundred twenty-one".