9490867200 has 660 divisors, whose sum is σ = 36855825600. Its totient is φ = 2408693760.

The previous prime is 9490867193. The next prime is 9490867231. The reversal of 9490867200 is 27680949.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 47692701 + ... + 47692899.

It is an arithmetic number, because the mean of its divisors is an integer number (55842160).

Almost surely, 2^9490867200 is an apocalyptic number.

9490867200 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 9490867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18427912800).

9490867200 is an abundant number, since it is smaller than the sum of its proper divisors (27364958400).

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

9490867200 is a wasteful number, since it uses less digits than its factorization.

9490867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9490867200 is about 97421.0819073572. The cubic root of 9490867200 is about 2117.2328915519.

The spelling of 9490867200 in words is "nine billion, four hundred ninety million, eight hundred sixty-seven thousand, two hundred".