414289 has 4 divisors (see below), whose sum is σ = 425524. Its totient is φ = 403056.

The previous prime is 414283. The next prime is 414311. The reversal of 414289 is 982414.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 172225 = 492^2 + 415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414289 is a prime.

It is a Duffinian number.

414289 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5562 + ... + 5635.

It is an arithmetic number, because the mean of its divisors is an integer number (106381).

2⁴¹⁴²⁸⁹ is an apocalyptic number.

It is an amenable number.

414289 is a deficient number, since it is larger than the sum of its proper divisors (11235).

414289 is a wasteful number, since it uses less digits than its factorization.

414289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11234.

The product of its digits is 2304, while the sum is 28.

The square root of 414289 is about 643.6528567481. The cubic root of 414289 is about 74.5477375231.

It can be divided in two parts, 414 and 289, that added together give a triangular number (703 = T₃₇).

The spelling of 414289 in words is "four hundred fourteen thousand, two hundred eighty-nine".