9004981284 has 288 divisors, whose sum is σ = 26303004000. Its totient is φ = 2577899520.

The previous prime is 9004981283. The next prime is 9004981289. The reversal of 9004981284 is 4821894009.

It can be written as a sum of positive squares in 16 ways, for example, as 6867768384 + 2137212900 = 82872^2 + 46230^2 .

It is a super-3 number, since 3×9004981284³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9004981283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60436042 + ... + 60436190.

It is an arithmetic number, because the mean of its divisors is an integer number (91329875).

Almost surely, 2^9004981284 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 9004981284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13151502000).

9004981284 is an abundant number, since it is smaller than the sum of its proper divisors (17298022716).

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

9004981284 is a wasteful number, since it uses less digits than its factorization.

9004981284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 9004981284 is about 94894.5798452156. The cubic root of 9004981284 is about 2080.4675110979.

The spelling of 9004981284 in words is "nine billion, four million, nine hundred eighty-one thousand, two hundred eighty-four".