406304 has 12 divisors (see below), whose sum is σ = 799974. Its totient is φ = 203136.

The previous prime is 406271. The next prime is 406309. The reversal of 406304 is 403604.

It can be written as a sum of positive squares in only one way, i.e., 384400 + 21904 = 620^2 + 148^2 .

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.

406304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6317 + ... + 6380.

2⁴⁰⁶³⁰⁴ is an apocalyptic number.

It is an amenable number.

406304 is a deficient number, since it is larger than the sum of its proper divisors (393670).

406304 is a wasteful number, since it uses less digits than its factorization.

406304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12707 (or 12699 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 406304 is about 637.4197988767. The cubic root of 406304 is about 74.0656830989.

Adding to 406304 its reverse (403604), we get a palindrome (809908).

The spelling of 406304 in words is "four hundred six thousand, three hundred four".