414189 has 6 divisors (see below), whose sum is σ = 598286. Its totient is φ = 276120.

The previous prime is 414179. The next prime is 414199. The reversal of 414189 is 981414.

It is an interprime number because it is at equal distance from previous prime (414179) and next prime (414199).

It can be written as a sum of positive squares in only one way, i.e., 412164 + 2025 = 642^2 + 45^2 .

It is not a de Polignac number, because 414189 - 2⁵ = 414157 is a prime.

It is an Ulam number.

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

It is a Duffinian number.

It is a Curzon number.

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 414189.

It is not an unprimeable number, because it can be changed into a prime (414109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23002 + ... + 23019.

2⁴¹⁴¹⁸⁹ is an apocalyptic number.

It is an amenable number.

414189 is a deficient number, since it is larger than the sum of its proper divisors (184097).

414189 is a wasteful number, since it uses less digits than its factorization.

414189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46027 (or 46024 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 414189 is about 643.5751704347. The cubic root of 414189 is about 74.5417389942.

The spelling of 414189 in words is "four hundred fourteen thousand, one hundred eighty-nine".