444072100 has 18 divisors (see below), whose sum is σ = 963636674. Its totient is φ = 177628800.

The previous prime is 444072089. The next prime is 444072103. The reversal of 444072100 is 1270444.

It can be written as a sum of positive squares in 3 ways, for example, as 80712256 + 363359844 = 8984^2 + 19062^2 .

It is not an unprimeable number, because it can be changed into a prime (444072103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2220261 + ... + 2220460.

Almost surely, 2^444072100 is an apocalyptic number.

It is an amenable number.

444072100 is an abundant number, since it is smaller than the sum of its proper divisors (519564574).

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

444072100 is a wasteful number, since it uses less digits than its factorization.

444072100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440735 (or 4440728 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 444072100 is about 21073.0182935430. The cubic root of 444072100 is about 762.9296548330.

The spelling of 444072100 in words is "four hundred forty-four million, seventy-two thousand, one hundred".