441493802500 has 135 divisors (see below), whose sum is σ = 982686957483. Its totient is φ = 173501184000.

The previous prime is 441493802489. The next prime is 441493802527. The reversal of 441493802500 is 5208394144.

The square root of 441493802500 is 664450.

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

It can be written as a sum of positive squares in 22 ways, for example, as 415104449796 + 26389352704 = 644286^2 + 162448^2 .

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 3222582432 + ... + 3222582568.

Almost surely, 2^441493802500 is an apocalyptic number.

441493802500 is the 664450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441493802500

441493802500 is an abundant number, since it is smaller than the sum of its proper divisors (541193154983).

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

441493802500 is an frugal number, since it uses more digits than its factorization.

441493802500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 441493802500 in words is "four hundred forty-one billion, four hundred ninety-three million, eight hundred two thousand, five hundred".