8409852000 has 384 divisors, whose sum is σ = 33399475200. Its totient is φ = 2038464000.

The previous prime is 8409851999. The next prime is 8409852007. The reversal of 8409852000 is 2589048.

8409852000 is a `hidden beast` number, since 8 + 40 + 98 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×8409852000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8409852007) 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 63 ways as a sum of consecutive naturals, for example, 1184461 + ... + 1191539.

It is an arithmetic number, because the mean of its divisors is an integer number (86977800).

Almost surely, 2^8409852000 is an apocalyptic number.

8409852000 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 8409852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16699737600).

8409852000 is an abundant number, since it is smaller than the sum of its proper divisors (24989623200).

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

8409852000 is a wasteful number, since it uses less digits than its factorization.

8409852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7124 (or 7100 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8409852000 is about 91705.2452153092. The cubic root of 8409852000 is about 2033.5871282837.

The spelling of 8409852000 in words is "eight billion, four hundred nine million, eight hundred fifty-two thousand".