844400840 has 32 divisors (see below), whose sum is σ = 1982508480. Its totient is φ = 323074752.

The previous prime is 844400833. The next prime is 844400849. The reversal of 844400840 is 48004448.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 844400797 and 844400806.

It is not an unprimeable number, because it can be changed into a prime (844400849) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 457994 + ... + 459833.

It is an arithmetic number, because the mean of its divisors is an integer number (61953390).

Almost surely, 2^844400840 is an apocalyptic number.

It is an amenable number.

844400840 is an abundant number, since it is smaller than the sum of its proper divisors (1138107640).

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

844400840 is a wasteful number, since it uses less digits than its factorization.

844400840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917861 (or 917857 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 844400840 is about 29058.5760146639. The cubic root of 844400840 is about 945.1836900181.

The spelling of 844400840 in words is "eight hundred forty-four million, four hundred thousand, eight hundred forty".