849248256 has 128 divisors (see below), whose sum is σ = 2321511840. Its totient is φ = 276037632.

The previous prime is 849248233. The next prime is 849248291. The reversal of 849248256 is 652842948.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5210031 + ... + 5210193.

Almost surely, 2^849248256 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 849248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160755920).

849248256 is an abundant number, since it is smaller than the sum of its proper divisors (1472263584).

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

849248256 is an equidigital number, since it uses as much as digits as its factorization.

849248256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 849248256 is about 29141.8643192230. The cubic root of 849248256 is about 946.9888986580.

The spelling of 849248256 in words is "eight hundred forty-nine million, two hundred forty-eight thousand, two hundred fifty-six".