413414429 has 2 divisors, whose sum is σ = 413414430. Its totient is φ = 413414428.

The previous prime is 413414411. The next prime is 413414461. The reversal of 413414429 is 924414314.

It is an a-pointer prime, because the next prime (413414461) can be obtained adding 413414429 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 412171204 + 1243225 = 20302^2 + 1115^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413414429 is a prime.

It is a super-2 number, since 2×413414429² = 341822980210792082, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 413414395 and 413414404.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413414329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206707214 + 206707215.

It is an arithmetic number, because the mean of its divisors is an integer number (206707215).

Almost surely, 2^413414429 is an apocalyptic number.

It is an amenable number.

413414429 is a deficient number, since it is larger than the sum of its proper divisors (1).

413414429 is an equidigital number, since it uses as much as digits as its factorization.

413414429 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13824, while the sum is 32.

The square root of 413414429 is about 20332.5952352374. The cubic root of 413414429 is about 744.9524339404.

The spelling of 413414429 in words is "four hundred thirteen million, four hundred fourteen thousand, four hundred twenty-nine".