414029 has 16 divisors (see below), whose sum is σ = 545280. Its totient is φ = 304560.

The previous prime is 414019. The next prime is 414031. The reversal of 414029 is 920414.

It is a cyclic number.

It is not a de Polignac number, because 414029 - 2⁴ = 414013 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 414029.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 414029.

It is not an unprimeable number, because it can be changed into a prime (414019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1322 + ... + 1604.

It is an arithmetic number, because the mean of its divisors is an integer number (34080).

2⁴¹⁴⁰²⁹ is an apocalyptic number.

It is an amenable number.

414029 is a deficient number, since it is larger than the sum of its proper divisors (131251).

414029 is a wasteful number, since it uses less digits than its factorization.

414029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 414029 is about 643.4508528241. The cubic root of 414029 is about 74.5321393394.

The spelling of 414029 in words is "four hundred fourteen thousand, twenty-nine".