852440512 has 112 divisors (see below), whose sum is σ = 2160910080. Its totient is φ = 323942400.

The previous prime is 852440509. The next prime is 852440539. The reversal of 852440512 is 215044258.

852440512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199939 + ... + 204157.

It is an arithmetic number, because the mean of its divisors is an integer number (19293840).

Almost surely, 2^852440512 is an apocalyptic number.

852440512 is a gapful number since it is divisible by the number (82) 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 852440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080455040).

852440512 is an abundant number, since it is smaller than the sum of its proper divisors (1308469568).

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

852440512 is a wasteful number, since it uses less digits than its factorization.

852440512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The square root of 852440512 is about 29196.5839097659. The cubic root of 852440512 is about 948.1739667798.

The spelling of 852440512 in words is "eight hundred fifty-two million, four hundred forty thousand, five hundred twelve".