844331040 has 480 divisors, whose sum is σ = 3503896704. Its totient is φ = 187453440.

The previous prime is 844331021. The next prime is 844331041. The reversal of 844331040 is 40133448.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 844330995 and 844331013.

It is not an unprimeable number, because it can be changed into a prime (844331041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3719407 + ... + 3719633.

Almost surely, 2^844331040 is an apocalyptic number.

844331040 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 844331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751948352).

844331040 is an abundant number, since it is smaller than the sum of its proper divisors (2659565664).

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

844331040 is a wasteful number, since it uses less digits than its factorization.

844331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 844331040 is about 29057.3749674674. The cubic root of 844331040 is about 945.1576456576.

Adding to 844331040 its reverse (40133448), we get a palindrome (884464488).

The spelling of 844331040 in words is "eight hundred forty-four million, three hundred thirty-one thousand, forty".