844968240 has 160 divisors (see below), whose sum is σ = 3004569600. Its totient is φ = 218039040.

The previous prime is 844968239. The next prime is 844968251. The reversal of 844968240 is 42869448.

844968240 is a `hidden beast` number, since 84 + 496 + 82 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 60651 + ... + 73269.

It is an arithmetic number, because the mean of its divisors is an integer number (18778560).

Almost surely, 2^844968240 is an apocalyptic number.

844968240 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 844968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502284800).

844968240 is an abundant number, since it is smaller than the sum of its proper divisors (2159601360).

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

844968240 is a wasteful number, since it uses less digits than its factorization.

844968240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672 (or 12660 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 844968240 is about 29068.3374137566. The cubic root of 844968240 is about 945.3953498217.

The spelling of 844968240 in words is "eight hundred forty-four million, nine hundred sixty-eight thousand, two hundred forty".