814320444 has 48 divisors (see below), whose sum is σ = 2188648448. Its totient is φ = 230827968.

The previous prime is 814320439. The next prime is 814320467. The reversal of 814320444 is 444023418.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27499 + ... + 48834.

Almost surely, 2^814320444 is an apocalyptic number.

814320444 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

814320444 is an abundant number, since it is smaller than the sum of its proper divisors (1374328004).

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

814320444 is a wasteful number, since it uses less digits than its factorization.

814320444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76474 (or 76472 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 814320444 is about 28536.3004609918. The cubic root of 814320444 is about 933.8241747570.

The spelling of 814320444 in words is "eight hundred fourteen million, three hundred twenty thousand, four hundred forty-four".