9252432000 has 768 divisors, whose sum is σ = 38822734080. Its totient is φ = 2068070400.

The previous prime is 9252431983. The next prime is 9252432031. The reversal of 9252432000 is 2342529.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67535932 + ... + 67536068.

It is an arithmetic number, because the mean of its divisors is an integer number (50550435).

Almost surely, 2^9252432000 is an apocalyptic number.

9252432000 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 9252432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19411367040).

9252432000 is an abundant number, since it is smaller than the sum of its proper divisors (29570302080).

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

9252432000 is a wasteful number, since it uses less digits than its factorization.

9252432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 9252432000 is about 96189.5628433771. The cubic root of 9252432000 is about 2099.3521811304.

Adding to 9252432000 its reverse (2342529), we get a palindrome (9254774529).

The spelling of 9252432000 in words is "nine billion, two hundred fifty-two million, four hundred thirty-two thousand".