415403413 has 2 divisors, whose sum is σ = 415403414. Its totient is φ = 415403412.

The previous prime is 415403399. The next prime is 415403423. The reversal of 415403413 is 314304514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 368371249 + 47032164 = 19193^2 + 6858^2 .

It is a cyclic number.

It is not a de Polignac number, because 415403413 - 2⁹ = 415402901 is a prime.

It is a super-3 number, since 3×415403413³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415403423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207701706 + 207701707.

It is an arithmetic number, because the mean of its divisors is an integer number (207701707).

Almost surely, 2^415403413 is an apocalyptic number.

It is an amenable number.

415403413 is a deficient number, since it is larger than the sum of its proper divisors (1).

415403413 is an equidigital number, since it uses as much as digits as its factorization.

415403413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 415403413 is about 20381.4477650632. The cubic root of 415403413 is about 746.1452068516.

Adding to 415403413 its reverse (314304514), we get a palindrome (729707927).

The spelling of 415403413 in words is "four hundred fifteen million, four hundred three thousand, four hundred thirteen".