8409849000 has 256 divisors, whose sum is σ = 31752414720. Its totient is φ = 1809100800.

The previous prime is 8409848977. The next prime is 8409849013. The reversal of 8409849000 is 9489048.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345222 + ... + 368778.

It is an arithmetic number, because the mean of its divisors is an integer number (124032870).

Almost surely, 2^8409849000 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 8409849000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876207360).

8409849000 is an abundant number, since it is smaller than the sum of its proper divisors (23342565720).

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

8409849000 is a wasteful number, since it uses less digits than its factorization.

8409849000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23605 (or 23591 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 8409849000 is about 91705.2288585553. The cubic root of 8409849000 is about 2033.5868864736.

The spelling of 8409849000 in words is "eight billion, four hundred nine million, eight hundred forty-nine thousand".