413432321 has 2 divisors, whose sum is σ = 413432322. Its totient is φ = 413432320.

The previous prime is 413432303. The next prime is 413432329. The reversal of 413432321 is 123234314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 367680625 + 45751696 = 19175^2 + 6764^2 .

It is a cyclic number.

It is not a de Polignac number, because 413432321 - 2¹⁰ = 413431297 is a prime.

It is not a weakly prime, because it can be changed into another prime (413432329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206716160 + 206716161.

It is an arithmetic number, because the mean of its divisors is an integer number (206716161).

Almost surely, 2^413432321 is an apocalyptic number.

It is an amenable number.

413432321 is a deficient number, since it is larger than the sum of its proper divisors (1).

413432321 is an equidigital number, since it uses as much as digits as its factorization.

413432321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 23.

The square root of 413432321 is about 20333.0352136615. The cubic root of 413432321 is about 744.9631806196.

Adding to 413432321 its reverse (123234314), we get a palindrome (536666635).

The spelling of 413432321 in words is "four hundred thirteen million, four hundred thirty-two thousand, three hundred twenty-one".