9490852800 has 756 divisors, whose sum is σ = 40025589240. Its totient is φ = 2118758400.

The previous prime is 9490852799. The next prime is 9490852807. The reversal of 9490852800 is 82580949.

9490852800 is a `hidden beast` number, since 9 + 490 + 85 + 2 + 80 + 0 = 666.

9490852800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9490852807) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 22650991 + ... + 22651409.

Almost surely, 2^9490852800 is an apocalyptic number.

9490852800 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 9490852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20012794620).

9490852800 is an abundant number, since it is smaller than the sum of its proper divisors (30534736440).

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

9490852800 is a wasteful number, since it uses less digits than its factorization.

9490852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 9490852800 is about 97421.0080013546. The cubic root of 9490852800 is about 2117.2318207622.

The spelling of 9490852800 in words is "nine billion, four hundred ninety million, eight hundred fifty-two thousand, eight hundred".