413424337 has 2 divisors, whose sum is σ = 413424338. Its totient is φ = 413424336.

The previous prime is 413424311. The next prime is 413424373. The reversal of 413424337 is 733424314.

It is a happy number.

Together with next prime (413424373) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 406788561 + 6635776 = 20169^2 + 2576^2 .

It is a cyclic number.

It is not a de Polignac number, because 413424337 - 2¹⁹ = 412900049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413424299 and 413424308.

It is not a weakly prime, because it can be changed into another prime (413424437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206712168 + 206712169.

It is an arithmetic number, because the mean of its divisors is an integer number (206712169).

Almost surely, 2^413424337 is an apocalyptic number.

It is an amenable number.

413424337 is a deficient number, since it is larger than the sum of its proper divisors (1).

413424337 is an equidigital number, since it uses as much as digits as its factorization.

413424337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 31.

The square root of 413424337 is about 20332.8388819663. The cubic root of 413424337 is about 744.9583851355.

The spelling of 413424337 in words is "four hundred thirteen million, four hundred twenty-four thousand, three hundred thirty-seven".