813304144 has 20 divisors (see below), whose sum is σ = 1602486720. Its totient is φ = 399759200.

The previous prime is 813304099. The next prime is 813304147. The reversal of 813304144 is 441403318.

It is a super-3 number, since 3×813304144³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813304147) 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 3 ways as a sum of consecutive naturals, for example, 429832 + ... + 431719.

It is an arithmetic number, because the mean of its divisors is an integer number (80124336).

Almost surely, 2^813304144 is an apocalyptic number.

It is an amenable number.

813304144 is a deficient number, since it is larger than the sum of its proper divisors (789182576).

813304144 is a wasteful number, since it uses less digits than its factorization.

813304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861618 (or 861612 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 813304144 is about 28518.4877579440. The cubic root of 813304144 is about 933.4355314395.

The spelling of 813304144 in words is "eight hundred thirteen million, three hundred four thousand, one hundred forty-four".