9225798400 has 648 divisors, whose sum is σ = 29934167424. Its totient is φ = 2786918400.

The previous prime is 9225798397. The next prime is 9225798437. The reversal of 9225798400 is 48975229.

It is a super-2 number, since 2×9225798400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126380764 + ... + 126380836.

Almost surely, 2^9225798400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9225798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14967083712).

9225798400 is an abundant number, since it is smaller than the sum of its proper divisors (20708369024).

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

9225798400 is a wasteful number, since it uses less digits than its factorization.

9225798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 9225798400 is about 96051.0197759503. The cubic root of 9225798400 is about 2097.3358809121.

The spelling of 9225798400 in words is "nine billion, two hundred twenty-five million, seven hundred ninety-eight thousand, four hundred".