414889 has 2 divisors, whose sum is σ = 414890. Its totient is φ = 414888.

The previous prime is 414871. The next prime is 414893. The reversal of 414889 is 988414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 403225 + 11664 = 635^2 + 108^2 .

It is a cyclic number.

It is not a de Polignac number, because 414889 - 2⁵ = 414857 is a prime.

414889 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (414809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207444 + 207445.

It is an arithmetic number, because the mean of its divisors is an integer number (207445).

2⁴¹⁴⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

414889 is a deficient number, since it is larger than the sum of its proper divisors (1).

414889 is an equidigital number, since it uses as much as digits as its factorization.

414889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9216, while the sum is 34.

The square root of 414889 is about 644.1187778663. The cubic root of 414889 is about 74.5837084411.

The spelling of 414889 in words is "four hundred fourteen thousand, eight hundred eighty-nine".