849456 has 60 divisors (see below), whose sum is σ = 2524392. Its totient is φ = 265728.

The previous prime is 849427. The next prime is 849461. The reversal of 849456 is 654948.

849456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 849456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2275 + ... + 2621.

2⁸⁴⁹⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262196).

849456 is an abundant number, since it is smaller than the sum of its proper divisors (1674936).

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

849456 is a wasteful number, since it uses less digits than its factorization.

849456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 369 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 849456 is about 921.6593730875. The cubic root of 849456 is about 94.7066110169.

The spelling of 849456 in words is "eight hundred forty-nine thousand, four hundred fifty-six".