414405113 has 2 divisors, whose sum is σ = 414405114. Its totient is φ = 414405112.

The previous prime is 414405109. The next prime is 414405119. The reversal of 414405113 is 311504414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 324288064 + 90117049 = 18008^2 + 9493^2 .

It is a cyclic number.

It is not a de Polignac number, because 414405113 - 2² = 414405109 is a prime.

It is a super-3 number, since 3×414405113³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (414405119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207202556 + 207202557.

It is an arithmetic number, because the mean of its divisors is an integer number (207202557).

Almost surely, 2^414405113 is an apocalyptic number.

It is an amenable number.

414405113 is a deficient number, since it is larger than the sum of its proper divisors (1).

414405113 is an equidigital number, since it uses as much as digits as its factorization.

414405113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 414405113 is about 20356.9426240779. The cubic root of 414405113 is about 745.5470138404.

Adding to 414405113 its reverse (311504414), we get a palindrome (725909527).

The spelling of 414405113 in words is "four hundred fourteen million, four hundred five thousand, one hundred thirteen".