414068 has 12 divisors (see below), whose sum is σ = 736932. Its totient is φ = 203520.

The previous prime is 414061. The next prime is 414077. The reversal of 414068 is 860414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 204304 + 209764 = 452^2 + 458^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414061) 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, 605 + ... + 1092.

It is an arithmetic number, because the mean of its divisors is an integer number (61411).

2⁴¹⁴⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

414068 is a deficient number, since it is larger than the sum of its proper divisors (322864).

414068 is a wasteful number, since it uses less digits than its factorization.

414068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 414068 is about 643.4811574553. The cubic root of 414068 is about 74.5344794832.

It can be divided in two parts, 41406 and 8, that added together give a palindrome (41414).

The spelling of 414068 in words is "four hundred fourteen thousand, sixty-eight".