406305 has 12 divisors (see below), whose sum is σ = 704340. Its totient is φ = 216672.

The previous prime is 406271. The next prime is 406309. The reversal of 406305 is 503604.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 88209 = 564^2 + 297^2 .

It is not a de Polignac number, because 406305 - 2⁷ = 406177 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (406309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4470 + ... + 4559.

It is an arithmetic number, because the mean of its divisors is an integer number (58695).

2⁴⁰⁶³⁰⁵ is an apocalyptic number.

406305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

406305 is a deficient number, since it is larger than the sum of its proper divisors (298035).

406305 is a wasteful number, since it uses less digits than its factorization.

406305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9040 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 406305 is about 637.4205832886. The cubic root of 406305 is about 74.0657438626.

Adding to 406305 its reverse (503604), we get a palindrome (909909).

The spelling of 406305 in words is "four hundred six thousand, three hundred five".