9521484000 has 288 divisors, whose sum is σ = 36287256096. Its totient is φ = 2176204800.

The previous prime is 9521483999. The next prime is 9521484001. The reversal of 9521484000 is 4841259.

It is an interprime number because it is at equal distance from previous prime (9521483999) and next prime (9521484001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9521484001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579904 + ... + 596096.

It is an arithmetic number, because the mean of its divisors is an integer number (125997417).

Almost surely, 2^9521484000 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 9521484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18143628048).

9521484000 is an abundant number, since it is smaller than the sum of its proper divisors (26765772096).

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

9521484000 is a wasteful number, since it uses less digits than its factorization.

9521484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16235 (or 16210 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 9521484000 is about 97578.0918034371. The cubic root of 9521484000 is about 2119.5071240585.

It can be divided in two parts, 9521 and 484000, that added together give a triangular number (493521 = T₉₉₃).

The spelling of 9521484000 in words is "nine billion, five hundred twenty-one million, four hundred eighty-four thousand".