844381440 has 432 divisors, whose sum is σ = 3441180288. Its totient is φ = 187121664.

The previous prime is 844381409. The next prime is 844381453. The reversal of 844381440 is 44183448.

844381440 is a `hidden beast` number, since 84 + 438 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 844381395 and 844381404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2983539 + ... + 2983821.

Almost surely, 2^844381440 is an apocalyptic number.

844381440 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 844381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720590144).

844381440 is an abundant number, since it is smaller than the sum of its proper divisors (2596798848).

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

844381440 is a wasteful number, since it uses less digits than its factorization.

844381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 844381440 is about 29058.2422042353. The cubic root of 844381440 is about 945.1764514717.

The spelling of 844381440 in words is "eight hundred forty-four million, three hundred eighty-one thousand, four hundred forty".