445512500 has 72 divisors (see below), whose sum is σ = 1008919800. Its totient is φ = 171920000.

The previous prime is 445512499. The next prime is 445512527. The reversal of 445512500 is 5215544.

It can be written as a sum of positive squares in 12 ways, for example, as 382437136 + 63075364 = 19556^2 + 7942^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 445512500.

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 23 ways as a sum of consecutive naturals, for example, 361886 + ... + 363114.

It is an arithmetic number, because the mean of its divisors is an integer number (14012775).

Almost surely, 2^445512500 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 445512500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504459900).

445512500 is an abundant number, since it is smaller than the sum of its proper divisors (563407300).

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

445512500 is a wasteful number, since it uses less digits than its factorization.

445512500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 445512500 is about 21107.1670292344. The cubic root of 445512500 is about 763.7536485406.

The spelling of 445512500 in words is "four hundred forty-five million, five hundred twelve thousand, five hundred".