413954509 has 2 divisors, whose sum is σ = 413954510. Its totient is φ = 413954508.

The previous prime is 413954503. The next prime is 413954531. The reversal of 413954509 is 905459314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 350513284 + 63441225 = 18722^2 + 7965^2 .

It is a cyclic number.

It is not a de Polignac number, because 413954509 - 2⁵ = 413954477 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413954503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206977254 + 206977255.

It is an arithmetic number, because the mean of its divisors is an integer number (206977255).

Almost surely, 2^413954509 is an apocalyptic number.

It is an amenable number.

413954509 is a deficient number, since it is larger than the sum of its proper divisors (1).

413954509 is an equidigital number, since it uses as much as digits as its factorization.

413954509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 413954509 is about 20345.8720383276. The cubic root of 413954509 is about 745.2766919632.

The spelling of 413954509 in words is "four hundred thirteen million, nine hundred fifty-four thousand, five hundred nine".