9248245200 has 240 divisors, whose sum is σ = 33008274240. Its totient is φ = 2459358720.

The previous prime is 9248245199. The next prime is 9248245211. The reversal of 9248245200 is 25428429.

9248245200 is a `hidden beast` number, since 92 + 48 + 2 + 4 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4783434 + ... + 4785366.

It is an arithmetic number, because the mean of its divisors is an integer number (137534476).

Almost surely, 2^9248245200 is an apocalyptic number.

9248245200 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 9248245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16504137120).

9248245200 is an abundant number, since it is smaller than the sum of its proper divisors (23760029040).

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

9248245200 is a wasteful number, since it uses less digits than its factorization.

9248245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 9248245200 is about 96167.7971048521. The cubic root of 9248245200 is about 2099.0354754315.

The spelling of 9248245200 in words is "nine billion, two hundred forty-eight million, two hundred forty-five thousand, two hundred".