852489000 has 384 divisors, whose sum is σ = 3212352000. Its totient is φ = 202176000.

The previous prime is 852488981. The next prime is 852489019. The reversal of 852489000 is 984258.

It is an interprime number because it is at equal distance from previous prime (852488981) and next prime (852489019).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 7820946 + ... + 7821054.

It is an arithmetic number, because the mean of its divisors is an integer number (8365500).

Almost surely, 2^852489000 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 852489000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606176000).

852489000 is an abundant number, since it is smaller than the sum of its proper divisors (2359863000).

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

852489000 is a wasteful number, since it uses less digits than its factorization.

852489000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

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

The square root of 852489000 is about 29197.4142690753. The cubic root of 852489000 is about 948.1919442562.

The spelling of 852489000 in words is "eight hundred fifty-two million, four hundred eighty-nine thousand".