853752384 has 168 divisors, whose sum is σ = 2596164480. Its totient is φ = 267494400.

The previous prime is 853752379. The next prime is 853752409. The reversal of 853752384 is 483257358.

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 23 ways as a sum of consecutive naturals, for example, 1980649 + ... + 1981079.

It is an arithmetic number, because the mean of its divisors is an integer number (15453360).

Almost surely, 2^853752384 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 853752384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298082240).

853752384 is an abundant number, since it is smaller than the sum of its proper divisors (1742412096).

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

853752384 is a wasteful number, since it uses less digits than its factorization.

853752384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 636 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 853752384 is about 29219.0414627174. The cubic root of 853752384 is about 948.6601181340.

The spelling of 853752384 in words is "eight hundred fifty-three million, seven hundred fifty-two thousand, three hundred eighty-four".