849313200 has 360 divisors, whose sum is σ = 3021076480. Its totient is φ = 203673600.

The previous prime is 849313163. The next prime is 849313211. The reversal of 849313200 is 2313948.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10750761 + ... + 10750839.

Almost surely, 2^849313200 is an apocalyptic number.

849313200 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 849313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510538240).

849313200 is an abundant number, since it is smaller than the sum of its proper divisors (2171763280).

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

849313200 is a wasteful number, since it uses less digits than its factorization.

849313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 849313200 is about 29142.9785711756. The cubic root of 849313200 is about 947.0130375279.

The spelling of 849313200 in words is "eight hundred forty-nine million, three hundred thirteen thousand, two hundred".