852324000 has 288 divisors, whose sum is σ = 3074355648. Its totient is φ = 206272000.

The previous prime is 852323993. The next prime is 852324029. The reversal of 852324000 is 423258.

852324000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1451707 + ... + 1452293.

It is an arithmetic number, because the mean of its divisors is an integer number (10674846).

Almost surely, 2^852324000 is an apocalyptic number.

852324000 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 852324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537177824).

852324000 is an abundant number, since it is smaller than the sum of its proper divisors (2222031648).

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

852324000 is a wasteful number, since it uses less digits than its factorization.

852324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 852324000 is about 29194.5885396592. The cubic root of 852324000 is about 948.1307658459.

Adding to 852324000 its reverse (423258), we get a palindrome (852747258).

It can be divided in two parts, 8523 and 24000, that added together give a palindrome (32523).

The spelling of 852324000 in words is "eight hundred fifty-two million, three hundred twenty-four thousand".