852853456 has 80 divisors (see below), whose sum is σ = 2140835200. Its totient is φ = 319624704.

The previous prime is 852853453. The next prime is 852853457. The reversal of 852853456 is 654358258.

It is a super-2 number, since 2×852853456² = 1454718034822287872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852853453) 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 15 ways as a sum of consecutive naturals, for example, 12250 + ... + 43078.

It is an arithmetic number, because the mean of its divisors is an integer number (26760440).

Almost surely, 2^852853456 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 852853456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070417600).

852853456 is an abundant number, since it is smaller than the sum of its proper divisors (1287981744).

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

852853456 is a wasteful number, since it uses less digits than its factorization.

852853456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30876 (or 30870 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 46.

The square root of 852853456 is about 29203.6548397628. The cubic root of 852853456 is about 948.3270486421.

The spelling of 852853456 in words is "eight hundred fifty-two million, eight hundred fifty-three thousand, four hundred fifty-six".