406314 has 12 divisors (see below), whose sum is σ = 880386. Its totient is φ = 135432.

The previous prime is 406313. The next prime is 406327. The reversal of 406314 is 413604.

It can be written as a sum of positive squares in only one way, i.e., 400689 + 5625 = 633^2 + 75^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 22573 = 406314 / (4 + 0 + 6 + 3 + 1 + 4).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406314.

It is not an unprimeable number, because it can be changed into a prime (406313) 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, 11269 + ... + 11304.

2⁴⁰⁶³¹⁴ is an apocalyptic number.

406314 is an abundant number, since it is smaller than the sum of its proper divisors (474072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406314 is a wasteful number, since it uses less digits than its factorization.

406314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22581 (or 22578 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 406314 is about 637.4276429525. The cubic root of 406314 is about 74.0662907316.

Adding to 406314 its reverse (413604), we get a palindrome (819918).

The spelling of 406314 in words is "four hundred six thousand, three hundred fourteen".