844509348 has 96 divisors (see below), whose sum is σ = 2313561600. Its totient is φ = 265966848.

The previous prime is 844509343. The next prime is 844509353. The reversal of 844509348 is 843905448.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (844509343) and next prime (844509353).

It is not an unprimeable number, because it can be changed into a prime (844509343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144336 + ... + 150072.

It is an arithmetic number, because the mean of its divisors is an integer number (24099600).

Almost surely, 2^844509348 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 844509348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156780800).

844509348 is an abundant number, since it is smaller than the sum of its proper divisors (1469052252).

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

844509348 is a wasteful number, since it uses less digits than its factorization.

844509348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5826 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 844509348 is about 29060.4430110761. The cubic root of 844509348 is about 945.2241745819.

The spelling of 844509348 in words is "eight hundred forty-four million, five hundred nine thousand, three hundred forty-eight".