9408301056 has 432 divisors, whose sum is σ = 34519277520. Its totient is φ = 2441134080.

The previous prime is 9408301043. The next prime is 9408301099. The reversal of 9408301056 is 6501038049.

It is a super-2 number, since 2×9408301056² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9408301056.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9934375 + ... + 9935321.

It is an arithmetic number, because the mean of its divisors is an integer number (79905735).

Almost surely, 2^9408301056 is an apocalyptic number.

9408301056 is a gapful number since it is divisible by the number (96) 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 9408301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17259638760).

9408301056 is an abundant number, since it is smaller than the sum of its proper divisors (25110976464).

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

9408301056 is a wasteful number, since it uses less digits than its factorization.

9408301056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9408301056 is about 96996.3971289656. The cubic root of 9408301056 is about 2111.0753528184.

The spelling of 9408301056 in words is "nine billion, four hundred eight million, three hundred one thousand, fifty-six".