849197952 has 256 divisors, whose sum is σ = 2674440000. Its totient is φ = 264757248.

The previous prime is 849197933. The next prime is 849197953. The reversal of 849197952 is 259791948.

849197952 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-2 number, since 2×849197952² = 1442274323361988608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849197953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3708174 + ... + 3708402.

Almost surely, 2^849197952 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 849197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337220000).

849197952 is an abundant number, since it is smaller than the sum of its proper divisors (1825242048).

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

849197952 is a wasteful number, since it uses less digits than its factorization.

849197952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 849197952 is about 29141.0012182149. The cubic root of 849197952 is about 946.9702004467.

The spelling of 849197952 in words is "eight hundred forty-nine million, one hundred ninety-seven thousand, nine hundred fifty-two".