849901248 has 336 divisors, whose sum is σ = 2979302144. Its totient is φ = 235146240.

The previous prime is 849901229. The next prime is 849901253. The reversal of 849901248 is 842109948.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4027863 + ... + 4028073.

Almost surely, 2^849901248 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 849901248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489651072).

849901248 is an abundant number, since it is smaller than the sum of its proper divisors (2129400896).

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

849901248 is a wasteful number, since it uses less digits than its factorization.

849901248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 849901248 is about 29153.0658422060. The cubic root of 849901248 is about 947.2315515954.

The spelling of 849901248 in words is "eight hundred forty-nine million, nine hundred one thousand, two hundred forty-eight".