9791258400 has 1296 divisors, whose sum is σ = 46541083680. Its totient is φ = 1964390400.

The previous prime is 9791258387. The next prime is 9791258471. The reversal of 9791258400 is 48521979.

9791258400 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 an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 337629586 + ... + 337629614.

It is an arithmetic number, because the mean of its divisors is an integer number (35911330).

Almost surely, 2^9791258400 is an apocalyptic number.

9791258400 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 9791258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23270541840).

9791258400 is an abundant number, since it is smaller than the sum of its proper divisors (36749825280).

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

9791258400 is a wasteful number, since it uses less digits than its factorization.

9791258400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 9791258400 is about 98950.7877684660. The cubic root of 9791258400 is about 2139.3384859589.

The spelling of 9791258400 in words is "nine billion, seven hundred ninety-one million, two hundred fifty-eight thousand, four hundred".