414589 has 6 divisors (see below), whose sum is σ = 482334. Its totient is φ = 355320.

The previous prime is 414577. The next prime is 414607. The reversal of 414589 is 985414.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 396900 + 17689 = 630^2 + 133^2 .

It is not a de Polignac number, because 414589 - 2⁷ = 414461 is a prime.

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

It is a Duffinian number.

414589 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 414589.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414539) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4182 + ... + 4279.

It is an arithmetic number, because the mean of its divisors is an integer number (80389).

2⁴¹⁴⁵⁸⁹ is an apocalyptic number.

414589 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

414589 is a deficient number, since it is larger than the sum of its proper divisors (67745).

414589 is an equidigital number, since it uses as much as digits as its factorization.

414589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8475 (or 8468 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 414589 is about 643.8858594503. The cubic root of 414589 is about 74.5657273203.

The spelling of 414589 in words is "four hundred fourteen thousand, five hundred eighty-nine".