413541409 has 2 divisors, whose sum is σ = 413541410. Its totient is φ = 413541408.

The previous prime is 413541389. The next prime is 413541419. The reversal of 413541409 is 904145314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 380133009 + 33408400 = 19497^2 + 5780^2 .

It is a cyclic number.

It is not a de Polignac number, because 413541409 - 2⁷ = 413541281 is a prime.

It is not a weakly prime, because it can be changed into another prime (413541419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206770704 + 206770705.

It is an arithmetic number, because the mean of its divisors is an integer number (206770705).

Almost surely, 2^413541409 is an apocalyptic number.

It is an amenable number.

413541409 is a deficient number, since it is larger than the sum of its proper divisors (1).

413541409 is an equidigital number, since it uses as much as digits as its factorization.

413541409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 413541409 is about 20335.7175678657. The cubic root of 413541409 is about 745.0286967010.

The spelling of 413541409 in words is "four hundred thirteen million, five hundred forty-one thousand, four hundred nine".