408004408 has 32 divisors (see below), whose sum is σ = 879147360. Its totient is φ = 173888640.

The previous prime is 408004381. The next prime is 408004409. The reversal of 408004408 is 804400804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408004409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9991 + ... + 30262.

It is an arithmetic number, because the mean of its divisors is an integer number (27473355).

Almost surely, 2^408004408 is an apocalyptic number.

It is an amenable number.

408004408 is an abundant number, since it is smaller than the sum of its proper divisors (471142952).

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

408004408 is a wasteful number, since it uses less digits than its factorization.

408004408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40447 (or 40443 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 408004408 is about 20199.1189906887. The cubic root of 408004408 is about 741.6886248826.

The spelling of 408004408 in words is "four hundred eight million, four thousand, four hundred eight".