849955392 has 336 divisors, whose sum is σ = 3035515392. Its totient is φ = 223395840.

The previous prime is 849955361. The next prime is 849955399. The reversal of 849955392 is 293559948.

It is a happy number.

849955392 is a `hidden beast` number, since 84 + 9 + 9 + 553 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849955399) 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 47 ways as a sum of consecutive naturals, for example, 1399953 + ... + 1400559.

It is an arithmetic number, because the mean of its divisors is an integer number (9034272).

Almost surely, 2^849955392 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 849955392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517757696).

849955392 is an abundant number, since it is smaller than the sum of its proper divisors (2185560000).

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

849955392 is a wasteful number, since it uses less digits than its factorization.

849955392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 653 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 849955392 is about 29153.9944433006. The cubic root of 849955392 is about 947.2516660170.

The spelling of 849955392 in words is "eight hundred forty-nine million, nine hundred fifty-five thousand, three hundred ninety-two".