414114429 has 8 divisors (see below), whose sum is σ = 552343680. Its totient is φ = 275980736.

The previous prime is 414114413. The next prime is 414114433. The reversal of 414114429 is 924411414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414114429 - 2⁴ = 414114413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414114396 and 414114405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414114439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13077 + ... + 31610.

It is an arithmetic number, because the mean of its divisors is an integer number (69042960).

Almost surely, 2^414114429 is an apocalyptic number.

It is an amenable number.

414114429 is a deficient number, since it is larger than the sum of its proper divisors (138229251).

414114429 is a wasteful number, since it uses less digits than its factorization.

414114429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47779.

The product of its digits is 4608, while the sum is 30.

The square root of 414114429 is about 20349.8016943655. The cubic root of 414114429 is about 745.3726520276.

The spelling of 414114429 in words is "four hundred fourteen million, one hundred fourteen thousand, four hundred twenty-nine".