852419376 has 100 divisors (see below), whose sum is σ = 2574506352. Its totient is φ = 271776384.

The previous prime is 852419341. The next prime is 852419377. The reversal of 852419376 is 673914258.

852419376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×852419376³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (852419377) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15510 + ... + 44106.

Almost surely, 2^852419376 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 852419376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287253176).

852419376 is an abundant number, since it is smaller than the sum of its proper divisors (1722086976).

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

852419376 is a wasteful number, since it uses less digits than its factorization.

852419376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28640 (or 28625 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 852419376 is about 29196.2219473685. The cubic root of 852419376 is about 948.1661301545.

The spelling of 852419376 in words is "eight hundred fifty-two million, four hundred nineteen thousand, three hundred seventy-six".