852830496 has 216 divisors, whose sum is σ = 2844301824. Its totient is φ = 241678080.

The previous prime is 852830479. The next prime is 852830509. The reversal of 852830496 is 694038258.

852830496 is a `hidden beast` number, since 8 + 528 + 30 + 4 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3146841 + ... + 3147111.

It is an arithmetic number, because the mean of its divisors is an integer number (13168064).

Almost surely, 2^852830496 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 852830496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422150912).

852830496 is an abundant number, since it is smaller than the sum of its proper divisors (1991471328).

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

852830496 is a wasteful number, since it uses less digits than its factorization.

852830496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 852830496 is about 29203.2617356349. The cubic root of 852830496 is about 948.3185384718.

The spelling of 852830496 in words is "eight hundred fifty-two million, eight hundred thirty thousand, four hundred ninety-six".