8404408008 has 48 divisors (see below), whose sum is σ = 23191419420. Its totient is φ = 2748610176.

The previous prime is 8404407967. The next prime is 8404408037. The reversal of 8404408008 is 8008044048.

It can be written as a sum of positive squares in 2 ways, for example, as 7660100484 + 744307524 = 87522^2 + 27282^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1097391 + ... + 1105022.

Almost surely, 2^8404408008 is an apocalyptic number.

It is an amenable number.

8404408008 is an abundant number, since it is smaller than the sum of its proper divisors (14787011412).

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

8404408008 is a wasteful number, since it uses less digits than its factorization.

8404408008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202478 (or 2202471 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8404408008 is about 91675.5584002628. The cubic root of 8404408008 is about 2033.1482294872.

The spelling of 8404408008 in words is "eight billion, four hundred four million, four hundred eight thousand, eight".