849752256 has 56 divisors (see below), whose sum is σ = 2253538800. Its totient is φ = 282591232.

The previous prime is 849752251. The next prime is 849752261. The reversal of 849752256 is 652257948.

It is an interprime number because it is at equal distance from previous prime (849752251) and next prime (849752261).

It is a super-3 number, since 3×849752256³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (849752251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81280 + ... + 91136.

Almost surely, 2^849752256 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 849752256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126769400).

849752256 is an abundant number, since it is smaller than the sum of its proper divisors (1403786544).

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

849752256 is a wasteful number, since it uses less digits than its factorization.

849752256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10321 (or 10311 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 849752256 is about 29150.5103900429. The cubic root of 849752256 is about 947.1761968620.

The spelling of 849752256 in words is "eight hundred forty-nine million, seven hundred fifty-two thousand, two hundred fifty-six".