413589349 has 2 divisors, whose sum is σ = 413589350. Its totient is φ = 413589348.

The previous prime is 413589317. The next prime is 413589373. The reversal of 413589349 is 943985314.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 349877025 + 63712324 = 18705^2 + 7982^2 .

It is a cyclic number.

It is not a de Polignac number, because 413589349 - 2⁵ = 413589317 is a prime.

It is a super-2 number, since 2×413589349² = 342112299212487602, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413589299 and 413589308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413589149) 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 as a sum of consecutive naturals, namely, 206794674 + 206794675.

It is an arithmetic number, because the mean of its divisors is an integer number (206794675).

Almost surely, 2^413589349 is an apocalyptic number.

It is an amenable number.

413589349 is a deficient number, since it is larger than the sum of its proper divisors (1).

413589349 is an equidigital number, since it uses as much as digits as its factorization.

413589349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 466560, while the sum is 46.

The square root of 413589349 is about 20336.8962479529. The cubic root of 413589349 is about 745.0574848666.

The spelling of 413589349 in words is "four hundred thirteen million, five hundred eighty-nine thousand, three hundred forty-nine".