8404881408 has 780 divisors, whose sum is σ = 32540156352. Its totient is φ = 2136637440.

The previous prime is 8404881391. The next prime is 8404881427. The reversal of 8404881408 is 8041884048.

It is a super-3 number, since 3×8404881408³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 178827241 + ... + 178827287.

Almost surely, 2^8404881408 is an apocalyptic number.

8404881408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8404881408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16270078176).

8404881408 is an abundant number, since it is smaller than the sum of its proper divisors (24135274944).

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

8404881408 is a wasteful number, since it uses less digits than its factorization.

8404881408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 8404881408 is about 91678.1402952743. The cubic root of 8404881408 is about 2033.1864028799.

The spelling of 8404881408 in words is "eight billion, four hundred four million, eight hundred eighty-one thousand, four hundred eight".