8466480288 has 480 divisors, whose sum is σ = 29638224000. Its totient is φ = 2369461248.

The previous prime is 8466480257. The next prime is 8466480307. The reversal of 8466480288 is 8820846648.

8466480288 is a `hidden beast` number, since 84 + 6 + 6 + 480 + 2 + 88 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79125931 + ... + 79126037.

It is an arithmetic number, because the mean of its divisors is an integer number (61746300).

Almost surely, 2^8466480288 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 8466480288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819112000).

8466480288 is an abundant number, since it is smaller than the sum of its proper divisors (21171743712).

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

8466480288 is a wasteful number, since it uses less digits than its factorization.

8466480288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The square root of 8466480288 is about 92013.4788387006. The cubic root of 8466480288 is about 2038.1413520793.

The spelling of 8466480288 in words is "eight billion, four hundred sixty-six million, four hundred eighty thousand, two hundred eighty-eight".