9282600480 has 192 divisors, whose sum is σ = 31152522240. Its totient is φ = 2316635136.

The previous prime is 9282600479. The next prime is 9282600497. The reversal of 9282600480 is 840062829.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750829 + ... + 763091.

It is an arithmetic number, because the mean of its divisors is an integer number (162252720).

Almost surely, 2^9282600480 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 9282600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15576261120).

9282600480 is an abundant number, since it is smaller than the sum of its proper divisors (21869921760).

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

9282600480 is a wasteful number, since it uses less digits than its factorization.

9282600480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12383 (or 12375 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 9282600480 is about 96346.2530667384. The cubic root of 9282600480 is about 2101.6314216159.

The spelling of 9282600480 in words is "nine billion, two hundred eighty-two million, six hundred thousand, four hundred eighty".