9265924800 has 1344 divisors, whose sum is σ = 41363066880. Its totient is φ = 1990656000.

The previous prime is 9265924777. The next prime is 9265924813. The reversal of 9265924800 is 84295629.

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 191 ways as a sum of consecutive naturals, for example, 250430382 + ... + 250430418.

Almost surely, 2^9265924800 is an apocalyptic number.

9265924800 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 9265924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20681533440).

9265924800 is an abundant number, since it is smaller than the sum of its proper divisors (32097142080).

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

9265924800 is a wasteful number, since it uses less digits than its factorization.

9265924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9265924800 is about 96259.6737995720. The cubic root of 9265924800 is about 2100.3721789335.

The spelling of 9265924800 in words is "nine billion, two hundred sixty-five million, nine hundred twenty-four thousand, eight hundred".