444262240900 has 27 divisors (see below), whose sum is σ = 964063526671. Its totient is φ = 177702230240.

The previous prime is 444262240883. The next prime is 444262240913. The reversal of 444262240900 is 9042262444.

It is a happy number.

The square root of 444262240900 is 666530.

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 263031533956 + 181230706944 = 512866^2 + 425712^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 444262240900.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6631974 + ... + 6698626.

Almost surely, 2^444262240900 is an apocalyptic number.

444262240900 is the 666530-th square number.

It is an amenable number.

444262240900 is an abundant number, since it is smaller than the sum of its proper divisors (519801285771).

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

444262240900 is an frugal number, since it uses more digits than its factorization.

444262240900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133320 (or 66660 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 444262240900 in words is "four hundred forty-four billion, two hundred sixty-two million, two hundred forty thousand, nine hundred".