849461760 has 480 divisors, whose sum is σ = 3523703040. Its totient is φ = 184909824.

The previous prime is 849461741. The next prime is 849461761. The reversal of 849461760 is 67164948.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849461761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3709326 + ... + 3709554.

It is an arithmetic number, because the mean of its divisors is an integer number (7341048).

Almost surely, 2^849461760 is an apocalyptic number.

849461760 is a gapful number since it is divisible by the number (80) 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 849461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761851520).

849461760 is an abundant number, since it is smaller than the sum of its proper divisors (2674241280).

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

849461760 is a wasteful number, since it uses less digits than its factorization.

849461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 849461760 is about 29145.5272726365. The cubic root of 849461760 is about 947.0682507891.

The spelling of 849461760 in words is "eight hundred forty-nine million, four hundred sixty-one thousand, seven hundred sixty".