8478267408 has 200 divisors, whose sum is σ = 26678792448. Its totient is φ = 2583767808.

The previous prime is 8478267403. The next prime is 8478267409. The reversal of 8478267408 is 8047628748.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8478267403) 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 39 ways as a sum of consecutive naturals, for example, 1800385 + ... + 1805087.

Almost surely, 2^8478267408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8478267408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13339396224).

8478267408 is an abundant number, since it is smaller than the sum of its proper divisors (18200525040).

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

8478267408 is a wasteful number, since it uses less digits than its factorization.

8478267408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 8478267408 is about 92077.5076117941. The cubic root of 8478267408 is about 2039.0867538582.

The spelling of 8478267408 in words is "eight billion, four hundred seventy-eight million, two hundred sixty-seven thousand, four hundred eight".