8974249830 has 288 divisors, whose sum is σ = 29817815040. Its totient is φ = 1831714560.

The previous prime is 8974249829. The next prime is 8974249831. The reversal of 8974249830 is 389424798.

8974249830 is a `hidden beast` number, since 89 + 7 + 42 + 498 + 30 = 666.

8974249830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8974249829) and next prime (8974249831).

It is a super-2 number, since 2×8974249830² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8974249831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3299211 + ... + 3301929.

It is an arithmetic number, because the mean of its divisors is an integer number (103534080).

Almost surely, 2^8974249830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8974249830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14908907520).

8974249830 is an abundant number, since it is smaller than the sum of its proper divisors (20843565210).

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

8974249830 is a wasteful number, since it uses less digits than its factorization.

8974249830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 8974249830 is about 94732.5172789154. The cubic root of 8974249830 is about 2078.0981313292.

The spelling of 8974249830 in words is "eight billion, nine hundred seventy-four million, two hundred forty-nine thousand, eight hundred thirty".