408004004 has 24 divisors (see below), whose sum is σ = 731364480. Its totient is φ = 199099296.

The previous prime is 408004001. The next prime is 408004007. The reversal of 408004004 is 400400804.

It is an interprime number because it is at equal distance from previous prime (408004001) and next prime (408004007).

408004004 is a modest number, since divided by 4004 gives 408 as remainder.

It is not an unprimeable number, because it can be changed into a prime (408004001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22229 + ... + 36195.

It is an arithmetic number, because the mean of its divisors is an integer number (30473520).

Almost surely, 2^408004004 is an apocalyptic number.

It is an amenable number.

408004004 is a deficient number, since it is larger than the sum of its proper divisors (323360476).

408004004 is a wasteful number, since it uses less digits than its factorization.

408004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14147 (or 14145 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 408004004 is about 20199.1089902500. The cubic root of 408004004 is about 741.6883800794.

Adding to 408004004 its reverse (400400804), we get a palindrome (808404808).

The spelling of 408004004 in words is "four hundred eight million, four thousand, four".