849436000 has 192 divisors, whose sum is σ = 2490808320. Its totient is φ = 278361600.

The previous prime is 849435967. The next prime is 849436009. The reversal of 849436000 is 634948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849436009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 643341 + ... + 644659.

It is an arithmetic number, because the mean of its divisors is an integer number (12972960).

Almost surely, 2^849436000 is an apocalyptic number.

849436000 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 849436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245404160).

849436000 is an abundant number, since it is smaller than the sum of its proper divisors (1641372320).

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

849436000 is a wasteful number, since it uses less digits than its factorization.

849436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 849436000 is about 29145.0853489915. The cubic root of 849436000 is about 947.0586773840.

The spelling of 849436000 in words is "eight hundred forty-nine million, four hundred thirty-six thousand".