9249408000 has 1056 divisors, whose sum is σ = 40384002048. Its totient is φ = 1990656000.

The previous prime is 9249407983. The next prime is 9249408001. The reversal of 9249408000 is 8049429.

It is a happy number.

9249408000 is a `hidden beast` number, since 9 + 249 + 408 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9249408001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249983982 + ... + 249984018.

Almost surely, 2^9249408000 is an apocalyptic number.

9249408000 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 9249408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20192001024).

9249408000 is an abundant number, since it is smaller than the sum of its proper divisors (31134594048).

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

9249408000 is a wasteful number, since it uses less digits than its factorization.

9249408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9249408000 is about 96173.8425976627. The cubic root of 9249408000 is about 2099.1234436933.

The spelling of 9249408000 in words is "nine billion, two hundred forty-nine million, four hundred eight thousand".