444825500 has 96 divisors (see below), whose sum is σ = 1126140288. Its totient is φ = 150336000.

The previous prime is 444825499. The next prime is 444825539. The reversal of 444825500 is 5528444.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 254630 + ... + 256370.

It is an arithmetic number, because the mean of its divisors is an integer number (11730628).

Almost surely, 2^444825500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444825500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563070144).

444825500 is an abundant number, since it is smaller than the sum of its proper divisors (681314788).

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

444825500 is a wasteful number, since it uses less digits than its factorization.

444825500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The square root of 444825500 is about 21090.8866575116. The cubic root of 444825500 is about 763.3608659283.

The spelling of 444825500 in words is "four hundred forty-four million, eight hundred twenty-five thousand, five hundred".