853369344 has 240 divisors, whose sum is σ = 2695973280. Its totient is φ = 269485056.

The previous prime is 853369331. The next prime is 853369373. The reversal of 853369344 is 443963358.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

Its product of digits (933120) is a multiple of the sum of its prime divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 853369344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44914167 + ... + 44914185.

It is an arithmetic number, because the mean of its divisors is an integer number (11233222).

Almost surely, 2^853369344 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 853369344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347986640).

853369344 is an abundant number, since it is smaller than the sum of its proper divisors (1842603936).

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

853369344 is an frugal number, since it uses more digits than its factorization.

853369344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 24 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 853369344 is about 29212.4860975577. The cubic root of 853369344 is about 948.5182233117.

It can be divided in two parts, 8533 and 69344, that added together give a palindrome (77877).

The spelling of 853369344 in words is "eight hundred fifty-three million, three hundred sixty-nine thousand, three hundred forty-four".