852746400 has 576 divisors, whose sum is σ = 3491026560. Its totient is φ = 199065600.

The previous prime is 852746393. The next prime is 852746417. The reversal of 852746400 is 4647258.

852746400 is a `hidden beast` number, since 8 + 5 + 2 + 7 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 8791152 + ... + 8791248.

It is an arithmetic number, because the mean of its divisors is an integer number (6060810).

Almost surely, 2^852746400 is an apocalyptic number.

852746400 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 852746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745513280).

852746400 is an abundant number, since it is smaller than the sum of its proper divisors (2638280160).

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

852746400 is a wasteful number, since it uses less digits than its factorization.

852746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 852746400 is about 29201.8218609730. The cubic root of 852746400 is about 948.2873668155.

The spelling of 852746400 in words is "eight hundred fifty-two million, seven hundred forty-six thousand, four hundred".