413045361 has 12 divisors (see below), whose sum is σ = 597002692. Its totient is φ = 275187456.

The previous prime is 413045329. The next prime is 413045387. The reversal of 413045361 is 163540314.

It can be written as a sum of positive squares in 2 ways, for example, as 49914225 + 363131136 = 7065^2 + 19056^2 .

It is not a de Polignac number, because 413045361 - 2⁵ = 413045329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413045261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1065 + ... + 28761.

Almost surely, 2^413045361 is an apocalyptic number.

It is an amenable number.

413045361 is a deficient number, since it is larger than the sum of its proper divisors (183957331).

413045361 is a wasteful number, since it uses less digits than its factorization.

413045361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29360 (or 29357 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 413045361 is about 20323.5174367037. The cubic root of 413045361 is about 744.7306871560.

Adding to 413045361 its reverse (163540314), we get a palindrome (576585675).

It can be divided in two parts, 41304 and 5361, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 413045361 in words is "four hundred thirteen million, forty-five thousand, three hundred sixty-one".