852252000 has 384 divisors, whose sum is σ = 3019161600. Its totient is φ = 209664000.

The previous prime is 852251977. The next prime is 852252017. The reversal of 852252000 is 252258.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 10787961 + ... + 10788039.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2^852252000 is an apocalyptic number.

852252000 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 852252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509580800).

852252000 is an abundant number, since it is smaller than the sum of its proper divisors (2166909600).

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

852252000 is a wasteful number, since it uses less digits than its factorization.

852252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 852252000 is about 29193.3554083802. The cubic root of 852252000 is about 948.1040673378.

The spelling of 852252000 in words is "eight hundred fifty-two million, two hundred fifty-two thousand".