852459552 has 144 divisors (see below), whose sum is σ = 2873287872. Its totient is φ = 243544320.

The previous prime is 852459547. The next prime is 852459589. The reversal of 852459552 is 255954258.

852459552 is a `hidden beast` number, since 8 + 5 + 2 + 4 + 595 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 852459498 and 852459507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46602 + ... + 62262.

It is an arithmetic number, because the mean of its divisors is an integer number (19953388).

Almost surely, 2^852459552 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 852459552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436643936).

852459552 is an abundant number, since it is smaller than the sum of its proper divisors (2020828320).

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

852459552 is a wasteful number, since it uses less digits than its factorization.

852459552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15693 (or 15673 counting only the distinct ones).

The product of its digits is 720000, while the sum is 45.

The square root of 852459552 is about 29196.9099734886. The cubic root of 852459552 is about 948.1810261572.

The spelling of 852459552 in words is "eight hundred fifty-two million, four hundred fifty-nine thousand, five hundred fifty-two".