408004 has 6 divisors (see below), whose sum is σ = 714014. Its totient is φ = 204000.

The previous prime is 407993. The next prime is 408011. The reversal of 408004 is 400804.

It can be written as a sum of positive squares in only one way, i.e., 248004 + 160000 = 498^2 + 400^2 .

It is an unprimeable number.

408004 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50997 + ... + 51004.

2⁴⁰⁸⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

408004 is a deficient number, since it is larger than the sum of its proper divisors (306010).

408004 is a wasteful number, since it uses less digits than its factorization.

408004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102005 (or 102003 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 408004 is about 638.7519080206. The cubic root of 408004 is about 74.1688377656.

Adding to 408004 its reverse (400804), we get a palindrome (808808).

It can be divided in two parts, 40800 and 4, that added together give a palindrome (40804).

The spelling of 408004 in words is "four hundred eight thousand, four".