9484675200 has 1728 divisors, whose sum is σ = 47235726720. Its totient is φ = 1780531200.

The previous prime is 9484675183. The next prime is 9484675237. The reversal of 9484675200 is 25764849.

It is a happy number.

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 201801577 + ... + 201801623.

It is an arithmetic number, because the mean of its divisors is an integer number (27335490).

Almost surely, 2^9484675200 is an apocalyptic number.

9484675200 is a gapful number since it is divisible by the number (90) 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 9484675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23617863360).

9484675200 is an abundant number, since it is smaller than the sum of its proper divisors (37751051520).

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

9484675200 is a wasteful number, since it uses less digits than its factorization.

9484675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 9484675200 is about 97389.2971532293. The cubic root of 9484675200 is about 2116.7723520366.

The spelling of 9484675200 in words is "nine billion, four hundred eighty-four million, six hundred seventy-five thousand, two hundred".