415413413 has 2 divisors, whose sum is σ = 415413414. Its totient is φ = 415413412.

The previous prime is 415413391. The next prime is 415413433. The reversal of 415413413 is 314314514.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 259113409 + 156300004 = 16097^2 + 12502^2 .

It is a cyclic number.

It is not a de Polignac number, because 415413413 - 2¹² = 415409317 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 (415413433) 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, 207706706 + 207706707.

It is an arithmetic number, because the mean of its divisors is an integer number (207706707).

Almost surely, 2^415413413 is an apocalyptic number.

It is an amenable number.

415413413 is a deficient number, since it is larger than the sum of its proper divisors (1).

415413413 is an equidigital number, since it uses as much as digits as its factorization.

415413413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 26.

The square root of 415413413 is about 20381.6930847268. The cubic root of 415413413 is about 746.1511941176.

Adding to 415413413 its reverse (314314514), we get a palindrome (729727927).

The spelling of 415413413 in words is "four hundred fifteen million, four hundred thirteen thousand, four hundred thirteen".