413205049 has 2 divisors, whose sum is σ = 413205050. Its totient is φ = 413205048.

The previous prime is 413205031. The next prime is 413205061. The reversal of 413205049 is 940502314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 320660649 + 92544400 = 17907^2 + 9620^2 .

It is a cyclic number.

It is not a de Polignac number, because 413205049 - 2²³ = 404816441 is a prime.

It is a super-3 number, since 3×413205049³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (413205449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206602524 + 206602525.

It is an arithmetic number, because the mean of its divisors is an integer number (206602525).

Almost surely, 2^413205049 is an apocalyptic number.

It is an amenable number.

413205049 is a deficient number, since it is larger than the sum of its proper divisors (1).

413205049 is an equidigital number, since it uses as much as digits as its factorization.

413205049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 413205049 is about 20327.4457077125. The cubic root of 413205049 is about 744.8266485545.

The spelling of 413205049 in words is "four hundred thirteen million, two hundred five thousand, forty-nine".