9228660480 has 720 divisors, whose sum is σ = 36647481024. Its totient is φ = 2202992640.

The previous prime is 9228660479. The next prime is 9228660491. The reversal of 9228660480 is 840668229.

9228660480 is a `hidden beast` number, since 92 + 2 + 86 + 6 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×9228660480³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55261357 + ... + 55261523.

Almost surely, 2^9228660480 is an apocalyptic number.

9228660480 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 9228660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18323740512).

9228660480 is an abundant number, since it is smaller than the sum of its proper divisors (27418820544).

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

9228660480 is a wasteful number, since it uses less digits than its factorization.

9228660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 9228660480 is about 96065.9173692731. The cubic root of 9228660480 is about 2097.5527410033.

The spelling of 9228660480 in words is "nine billion, two hundred twenty-eight million, six hundred sixty thousand, four hundred eighty".