1800411444 has 72 divisors (see below), whose sum is σ = 4920519240. Its totient is φ = 551780352.

The previous prime is 1800411433. The next prime is 1800411463. The reversal of 1800411444 is 4441140081.

1800411444 is a `hidden beast` number, since 180 + 0 + 41 + 1 + 444 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41447844 + 1758963600 = 6438^2 + 41940^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112792 + ... + 127760.

It is an arithmetic number, because the mean of its divisors is an integer number (68340545).

Almost surely, 2^1800411444 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 1800411444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460259620).

1800411444 is an abundant number, since it is smaller than the sum of its proper divisors (3120107796).

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

1800411444 is a wasteful number, since it uses less digits than its factorization.

1800411444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15249 (or 15244 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1800411444 is about 42431.2555081746. The cubic root of 1800411444 is about 1216.5330767024.

The spelling of 1800411444 in words is "one billion, eight hundred million, four hundred eleven thousand, four hundred forty-four".