984480509241 has 20 divisors (see below), whose sum is σ = 1471665888000. Its totient is φ = 655864167096.

The previous prime is 984480509189. The next prime is 984480509263. The reversal of 984480509241 is 142905084489.

It is a happy number.

984480509241 is a `hidden beast` number, since 98 + 4 + 4 + 8 + 0 + 509 + 2 + 41 = 666.

It is not a de Polignac number, because 984480509241 - 2¹³ = 984480501049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (984480509041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4106541 + ... + 4339658.

It is an arithmetic number, because the mean of its divisors is an integer number (73583294400).

Almost surely, 2^984480509241 is an apocalyptic number.

It is an amenable number.

984480509241 is a deficient number, since it is larger than the sum of its proper divisors (487185378759).

984480509241 is a wasteful number, since it uses less digits than its factorization.

984480509241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8447650 (or 8447641 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 984480509241 in words is "nine hundred eighty-four billion, four hundred eighty million, five hundred nine thousand, two hundred forty-one".