849550464 has 128 divisors (see below), whose sum is σ = 2865628800. Its totient is φ = 242721792.

The previous prime is 849550459. The next prime is 849550501. The reversal of 849550464 is 464055948.

849550464 is a `hidden beast` number, since 84 + 9 + 5 + 504 + 64 = 666.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6634 + ... + 41750.

It is an arithmetic number, because the mean of its divisors is an integer number (22387725).

Almost surely, 2^849550464 is an apocalyptic number.

849550464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849550464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432814400).

849550464 is an abundant number, since it is smaller than the sum of its proper divisors (2016078336).

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

849550464 is a wasteful number, since it uses less digits than its factorization.

849550464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35147 (or 35129 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 849550464 is about 29147.0489758397. The cubic root of 849550464 is about 947.1012151210.

The spelling of 849550464 in words is "eight hundred forty-nine million, five hundred fifty thousand, four hundred sixty-four".