9504230400 has 792 divisors, whose sum is σ = 39913945344. Its totient is φ = 2115993600.

The previous prime is 9504230383. The next prime is 9504230447. The reversal of 9504230400 is 40324059.

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, 114508759 + ... + 114508841.

Almost surely, 2^9504230400 is an apocalyptic number.

9504230400 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 9504230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19956972672).

9504230400 is an abundant number, since it is smaller than the sum of its proper divisors (30409714944).

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

9504230400 is a wasteful number, since it uses less digits than its factorization.

9504230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 171 counting only the distinct ones).

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

The square root of 9504230400 is about 97489.6425267833. The cubic root of 9504230400 is about 2118.2261178977.

Adding to 9504230400 its reverse (40324059), we get a palindrome (9544554459).

The spelling of 9504230400 in words is "nine billion, five hundred four million, two hundred thirty thousand, four hundred".