444055400 has 24 divisors (see below), whose sum is σ = 1032429270. Its totient is φ = 177622080.

The previous prime is 444055397. The next prime is 444055433. The reversal of 444055400 is 4550444.

It can be written as a sum of positive squares in 3 ways, for example, as 206956996 + 237098404 = 14386^2 + 15398^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 444055400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1109939 + ... + 1110338.

Almost surely, 2^444055400 is an apocalyptic number.

444055400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444055400 is an abundant number, since it is smaller than the sum of its proper divisors (588373870).

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

444055400 is a wasteful number, since it uses less digits than its factorization.

444055400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220293 (or 2220284 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 444055400 is about 21072.6220485254. The cubic root of 444055400 is about 762.9200910069.

The spelling of 444055400 in words is "four hundred forty-four million, fifty-five thousand, four hundred".