810406944 has 144 divisors (see below), whose sum is σ = 2418867360. Its totient is φ = 266872320.

The previous prime is 810406913. The next prime is 810406973. The reversal of 810406944 is 449604018.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 810406899 and 810406908.

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 23 ways as a sum of consecutive naturals, for example, 691479 + ... + 692649.

It is an arithmetic number, because the mean of its divisors is an integer number (16797690).

Almost surely, 2^810406944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810406944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209433680).

810406944 is an abundant number, since it is smaller than the sum of its proper divisors (1608460416).

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

810406944 is a wasteful number, since it uses less digits than its factorization.

810406944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 810406944 is about 28467.6473211258. The cubic root of 810406944 is about 932.3258330118.

The spelling of 810406944 in words is "eight hundred ten million, four hundred six thousand, nine hundred forty-four".