414129 has 16 divisors (see below), whose sum is σ = 587264. Its totient is φ = 259200.

The previous prime is 414109. The next prime is 414131. The reversal of 414129 is 921414.

It is not a de Polignac number, because 414129 - 2⁵ = 414097 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (414109) 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, 5637 + ... + 5709.

It is an arithmetic number, because the mean of its divisors is an integer number (36704).

2⁴¹⁴¹²⁹ is an apocalyptic number.

It is an amenable number.

414129 is a deficient number, since it is larger than the sum of its proper divisors (173135).

414129 is a wasteful number, since it uses less digits than its factorization.

414129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168.

The product of its digits is 288, while the sum is 21.

The square root of 414129 is about 643.5285541450. The cubic root of 414129 is about 74.5381394134.

The spelling of 414129 in words is "four hundred fourteen thousand, one hundred twenty-nine".