408004000 has 48 divisors (see below), whose sum is σ = 1002475656. Its totient is φ = 163200000.

The previous prime is 408003979. The next prime is 408004001. The reversal of 408004000 is 400804.

It can be written as a sum of positive squares in 4 ways, for example, as 33039504 + 374964496 = 5748^2 + 19364^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47001 + ... + 55000.

Almost surely, 2^408004000 is an apocalyptic number.

408004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408004000 is an abundant number, since it is smaller than the sum of its proper divisors (594471656).

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

408004000 is a wasteful number, since it uses less digits than its factorization.

408004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102026 (or 102008 counting only the distinct ones).

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

The square root of 408004000 is about 20199.1088912358. The cubic root of 408004000 is about 741.6883776556.

Adding to 408004000 its reverse (400804), we get a palindrome (408404804).

The spelling of 408004000 in words is "four hundred eight million, four thousand".