8472859200 has 840 divisors, whose sum is σ = 34573537152. Its totient is φ = 2022174720.

The previous prime is 8472859169. The next prime is 8472859201. The reversal of 8472859200 is 29582748.

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

It is not an unprimeable number, because it can be changed into a prime (8472859201) 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 119 ways as a sum of consecutive naturals, for example, 79185547 + ... + 79185653.

Almost surely, 2^8472859200 is an apocalyptic number.

8472859200 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 8472859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17286768576).

8472859200 is an abundant number, since it is smaller than the sum of its proper divisors (26100677952).

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

8472859200 is a wasteful number, since it uses less digits than its factorization.

8472859200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

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

The square root of 8472859200 is about 92048.1352336917. The cubic root of 8472859200 is about 2038.6530901373.

The spelling of 8472859200 in words is "eight billion, four hundred seventy-two million, eight hundred fifty-nine thousand, two hundred".