444029800 has 96 divisors (see below), whose sum is σ = 1108690200. Its totient is φ = 164782080.

The previous prime is 444029779. The next prime is 444029827. The reversal of 444029800 is 8920444.

It can be written as a sum of positive squares in 12 ways, for example, as 187197124 + 256832676 = 13682^2 + 16026^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247306 + ... + 249094.

Almost surely, 2^444029800 is an apocalyptic number.

444029800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444029800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554345100).

444029800 is an abundant number, since it is smaller than the sum of its proper divisors (664660400).

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

444029800 is a wasteful number, since it uses less digits than its factorization.

444029800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 444029800 is about 21072.0146165477. The cubic root of 444029800 is about 762.9054298260.

It can be divided in two parts, 44402 and 9800, that multiplied together give a square (435139600 = 20860²).

The spelling of 444029800 in words is "four hundred forty-four million, twenty-nine thousand, eight hundred".