852898200 has 192 divisors, whose sum is σ = 3296574720. Its totient is φ = 177216000.

The previous prime is 852898187. The next prime is 852898231. The reversal of 852898200 is 2898258.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 36970 + ... + 55430.

It is an arithmetic number, because the mean of its divisors is an integer number (17169660).

Almost surely, 2^852898200 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 852898200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648287360).

852898200 is an abundant number, since it is smaller than the sum of its proper divisors (2443676520).

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

852898200 is a wasteful number, since it uses less digits than its factorization.

852898200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18498 (or 18489 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 852898200 is about 29204.4208982133. The cubic root of 852898200 is about 948.3436326570.

The spelling of 852898200 in words is "eight hundred fifty-two million, eight hundred ninety-eight thousand, two hundred".