8409552000 has 256 divisors, whose sum is σ = 29348092800. Its totient is φ = 2124288000.

The previous prime is 8409551987. The next prime is 8409552007. The reversal of 8409552000 is 2559048.

It is not an unprimeable number, because it can be changed into a prime (8409552007) 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 31 ways as a sum of consecutive naturals, for example, 907390 + ... + 916610.

Almost surely, 2^8409552000 is an apocalyptic number.

8409552000 is a gapful number since it is divisible by the number (80) 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 8409552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14674046400).

8409552000 is an abundant number, since it is smaller than the sum of its proper divisors (20938540800).

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

8409552000 is a wasteful number, since it uses less digits than its factorization.

8409552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9272 (or 9250 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 8409552000 is about 91703.6095254707. The cubic root of 8409552000 is about 2033.5629469864.

The spelling of 8409552000 in words is "eight billion, four hundred nine million, five hundred fifty-two thousand".