414329 has 2 divisors, whose sum is σ = 414330. Its totient is φ = 414328.

The previous prime is 414313. The next prime is 414331. The reversal of 414329 is 923414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 384400 + 29929 = 620^2 + 173^2 .

It is a cyclic number.

It is not a de Polignac number, because 414329 - 2⁴ = 414313 is a prime.

Together with 414331, it forms a pair of twin primes.

It is a Chen prime.

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

It is not a weakly prime, because it can be changed into another prime (414389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207164 + 207165.

It is an arithmetic number, because the mean of its divisors is an integer number (207165).

2⁴¹⁴³²⁹ is an apocalyptic number.

It is an amenable number.

414329 is a deficient number, since it is larger than the sum of its proper divisors (1).

414329 is an equidigital number, since it uses as much as digits as its factorization.

414329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864, while the sum is 23.

The square root of 414329 is about 643.6839286482. The cubic root of 414329 is about 74.5501366644.

The spelling of 414329 in words is "four hundred fourteen thousand, three hundred twenty-nine".