444788100 has 243 divisors, whose sum is σ = 1512245007. Its totient is φ = 109330560.

The previous prime is 444788083. The next prime is 444788111. The reversal of 444788100 is 1887444.

It is a happy number.

The square root of 444788100 is 21090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 42224004 + 402564096 = 6498^2 + 20064^2 .

It is a super-2 number, since 2×444788100² = 395672907803220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 80 ways as a sum of consecutive naturals, for example, 12021282 + ... + 12021318.

Almost surely, 2^444788100 is an apocalyptic number.

444788100 is the 21090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444788100

444788100 is an abundant number, since it is smaller than the sum of its proper divisors (1067456907).

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

444788100 is a wasteful number, since it uses less digits than its factorization.

444788100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The cubic root of 444788100 is about 763.3394713990.

Multiplying 444788100 by its sum of digits (36), we get a square (16012371600 = 126540²).

444788100 divided by its sum of digits (36) gives a square (12355225 = 3515²).

It can be divided in two parts, 444 and 788100, that added together give a square (788544 = 888²).

The spelling of 444788100 in words is "four hundred forty-four million, seven hundred eighty-eight thousand, one hundred".