849364000 has 144 divisors (see below), whose sum is σ = 2157658776. Its totient is φ = 328512000.

The previous prime is 849363953. The next prime is 849364001. The reversal of 849364000 is 463948.

It can be written as a sum of positive squares in 4 ways, for example, as 60652944 + 788711056 = 7788^2 + 28084^2 .

It is not an unprimeable number, because it can be changed into a prime (849364001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13923970 + ... + 13924030.

Almost surely, 2^849364000 is an apocalyptic number.

849364000 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 849364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078829388).

849364000 is an abundant number, since it is smaller than the sum of its proper divisors (1308294776).

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

849364000 is an equidigital number, since it uses as much as digits as its factorization.

849364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 127 counting only the distinct ones).

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

The square root of 849364000 is about 29143.8501231392. The cubic root of 849364000 is about 947.0319183927.

The spelling of 849364000 in words is "eight hundred forty-nine million, three hundred sixty-four thousand".