849200 has 60 divisors (see below), whose sum is σ = 2237208. Its totient is φ = 307200.

The previous prime is 849197. The next prime is 849203. The reversal of 849200 is 2948.

849200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (849197) and next prime (849203).

It is a super-2 number, since 2×849200² = 1442281280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (849203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4304 + ... + 4496.

2⁸⁴⁹²⁰⁰ is an apocalyptic number.

849200 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 849200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118604).

849200 is an abundant number, since it is smaller than the sum of its proper divisors (1388008).

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

849200 is a wasteful number, since it uses less digits than its factorization.

849200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 849200 is about 921.5204826807. The cubic root of 849200 is about 94.6970961711.

The spelling of 849200 in words is "eight hundred forty-nine thousand, two hundred".