849408 has 80 divisors (see below), whose sum is σ = 2618880. Its totient is φ = 239616.

The previous prime is 849391. The next prime is 849419. The reversal of 849408 is 804948.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10713 + ... + 10791.

It is an arithmetic number, because the mean of its divisors is an integer number (32736).

2⁸⁴⁹⁴⁰⁸ 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 849408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309440).

849408 is an abundant number, since it is smaller than the sum of its proper divisors (1769472).

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

849408 is an equidigital number, since it uses as much as digits as its factorization.

849408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 849408 is about 921.6333327305. The cubic root of 849408 is about 94.7048271289.

It can be divided in two parts, 84940 and 8, that added together give a palindrome (84948).

The spelling of 849408 in words is "eight hundred forty-nine thousand, four hundred eight".