8478259200 has 288 divisors, whose sum is σ = 31147225200. Its totient is φ = 2260500480.

The previous prime is 8478259187. The next prime is 8478259247. The reversal of 8478259200 is 29528748.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1379334 + ... + 1385466.

Almost surely, 2^8478259200 is an apocalyptic number.

8478259200 is a gapful number since it is divisible by the number (80) 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 8478259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573612600).

8478259200 is an abundant number, since it is smaller than the sum of its proper divisors (22668966000).

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

8478259200 is a wasteful number, since it uses less digits than its factorization.

8478259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 8478259200 is about 92077.4630406377. The cubic root of 8478259200 is about 2039.0860958295.

The spelling of 8478259200 in words is "eight billion, four hundred seventy-eight million, two hundred fifty-nine thousand, two hundred".