845044000 has 96 divisors (see below), whose sum is σ = 2185747200. Its totient is φ = 320198400.

The previous prime is 845043977. The next prime is 845044001. The reversal of 845044000 is 440548.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (845044001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70441 + ... + 81559.

It is an arithmetic number, because the mean of its divisors is an integer number (22768200).

Almost surely, 2^845044000 is an apocalyptic number.

845044000 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 845044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092873600).

845044000 is an abundant number, since it is smaller than the sum of its proper divisors (1340703200).

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

845044000 is a wasteful number, since it uses less digits than its factorization.

845044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11163 (or 11145 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 845044000 is about 29069.6405206532. The cubic root of 845044000 is about 945.4236037480.

Adding to 845044000 its reverse (440548), we get a palindrome (845484548).

The spelling of 845044000 in words is "eight hundred forty-five million, forty-four thousand".