849911040 has 432 divisors, whose sum is σ = 3386335680. Its totient is φ = 194641920.

The previous prime is 849911003. The next prime is 849911047. The reversal of 849911040 is 40119948.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 849910986 and 849911004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849911047) 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, 2407504 + ... + 2407856.

It is an arithmetic number, because the mean of its divisors is an integer number (7838740).

Almost surely, 2^849911040 is an apocalyptic number.

849911040 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 849911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693167840).

849911040 is an abundant number, since it is smaller than the sum of its proper divisors (2536424640).

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

849911040 is a wasteful number, since it uses less digits than its factorization.

849911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 849911040 is about 29153.2337828928. The cubic root of 849911040 is about 947.2351893732.

The spelling of 849911040 in words is "eight hundred forty-nine million, nine hundred eleven thousand, forty".