444520900 has 36 divisors (see below), whose sum is σ = 967126468. Its totient is φ = 177344640.

The previous prime is 444520891. The next prime is 444520919. The reversal of 444520900 is 9025444.

It can be written as a sum of positive squares in 6 ways, for example, as 17189316 + 427331584 = 4146^2 + 20672^2 .

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 11 ways as a sum of consecutive naturals, for example, 34102 + ... + 45298.

Almost surely, 2^444520900 is an apocalyptic number.

It is an amenable number.

444520900 is an abundant number, since it is smaller than the sum of its proper divisors (522605568).

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

444520900 is a wasteful number, since it uses less digits than its factorization.

444520900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11608 (or 11601 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 444520900 is about 21083.6642925275. The cubic root of 444520900 is about 763.1865857415.

The spelling of 444520900 in words is "four hundred forty-four million, five hundred twenty thousand, nine hundred".