852338400 has 144 divisors (see below), whose sum is σ = 2796571008. Its totient is φ = 225472000.

The previous prime is 852338359. The next prime is 852338411. The reversal of 852338400 is 4833258.

852338400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×852338400² = 1452961496229120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313045 + ... + 315755.

It is an arithmetic number, because the mean of its divisors is an integer number (19420632).

Almost surely, 2^852338400 is an apocalyptic number.

852338400 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 852338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398285504).

852338400 is an abundant number, since it is smaller than the sum of its proper divisors (1944232608).

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

852338400 is a wasteful number, since it uses less digits than its factorization.

852338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 852338400 is about 29194.8351596648. The cubic root of 852338400 is about 948.1361053670.

The spelling of 852338400 in words is "eight hundred fifty-two million, three hundred thirty-eight thousand, four hundred".