444808400 has 60 divisors (see below), whose sum is σ = 1131531372. Its totient is φ = 167454720.

The previous prime is 444808391. The next prime is 444808421. The reversal of 444808400 is 4808444.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6492304 + 438316096 = 2548^2 + 20936^2 .

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 11 ways as a sum of consecutive naturals, for example, 25907 + ... + 39506.

Almost surely, 2^444808400 is an apocalyptic number.

444808400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444808400 is an abundant number, since it is smaller than the sum of its proper divisors (686722972).

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

444808400 is a wasteful number, since it uses less digits than its factorization.

444808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65448 (or 65437 counting only the distinct ones).

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

The square root of 444808400 is about 21090.4812652533. The cubic root of 444808400 is about 763.3510840864.

The spelling of 444808400 in words is "four hundred forty-four million, eight hundred eight thousand, four hundred".