852314920 has 128 divisors (see below), whose sum is σ = 2090188800. Its totient is φ = 311751936.

The previous prime is 852314917. The next prime is 852314971. The reversal of 852314920 is 29413258.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3821929 + ... + 3822151.

It is an arithmetic number, because the mean of its divisors is an integer number (16329600).

Almost surely, 2^852314920 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 852314920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045094400).

852314920 is an abundant number, since it is smaller than the sum of its proper divisors (1237873880).

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

852314920 is a wasteful number, since it uses less digits than its factorization.

852314920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 852314920 is about 29194.4330309736. The cubic root of 852314920 is about 948.1273989502.

The spelling of 852314920 in words is "eight hundred fifty-two million, three hundred fourteen thousand, nine hundred twenty".