8609409900 has 432 divisors, whose sum is σ = 34294693888. Its totient is φ = 1757376000.

The previous prime is 8609409863. The next prime is 8609409901. The reversal of 8609409900 is 99049068.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8609409901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2537205 + ... + 2540595.

Almost surely, 2^8609409900 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 8609409900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17147346944).

8609409900 is an abundant number, since it is smaller than the sum of its proper divisors (25685283988).

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

8609409900 is a wasteful number, since it uses less digits than its factorization.

8609409900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 8609409900 is about 92786.9058649980. The cubic root of 8609409900 is about 2049.5465901863.

The spelling of 8609409900 in words is "eight billion, six hundred nine million, four hundred nine thousand, nine hundred".