8479406208 has 256 divisors, whose sum is σ = 27922083840. Its totient is φ = 2220134400.

The previous prime is 8479406207. The next prime is 8479406219. The reversal of 8479406208 is 8026049748.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (8479406207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5275741 + ... + 5277347.

It is an arithmetic number, because the mean of its divisors is an integer number (109070640).

Almost surely, 2^8479406208 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 8479406208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13961041920).

8479406208 is an abundant number, since it is smaller than the sum of its proper divisors (19442677632).

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

8479406208 is a wasteful number, since it uses less digits than its factorization.

8479406208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 8479406208 is about 92083.6913247943. The cubic root of 8479406208 is about 2039.1780464113.

The spelling of 8479406208 in words is "eight billion, four hundred seventy-nine million, four hundred six thousand, two hundred eight".