445985800 has 96 divisors (see below), whose sum is σ = 1122193800. Its totient is φ = 163860480.

The previous prime is 445985791. The next prime is 445985819. The reversal of 445985800 is 8589544.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4901796 + 441084004 = 2214^2 + 21002^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875946 + ... + 876454.

Almost surely, 2^445985800 is an apocalyptic number.

445985800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445985800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561096900).

445985800 is an abundant number, since it is smaller than the sum of its proper divisors (676208000).

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

445985800 is a wasteful number, since it uses less digits than its factorization.

445985800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 445985800 is about 21118.3758845229. The cubic root of 445985800 is about 764.0240163133.

The spelling of 445985800 in words is "four hundred forty-five million, nine hundred eighty-five thousand, eight hundred".