1825782444 has 72 divisors (see below), whose sum is σ = 4798597440. Its totient is φ = 607006224.

The previous prime is 1825782437. The next prime is 1825782449. The reversal of 1825782444 is 4442875281.

1825782444 is a `hidden beast` number, since 1 + 82 + 57 + 82 + 444 = 666.

It is a super-4 number, since 4×1825782444⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1825782444.

It is not an unprimeable number, because it can be changed into a prime (1825782449) by changing a digit.

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, 405027 + ... + 409509.

Almost surely, 2^1825782444 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 1825782444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399298720).

1825782444 is an abundant number, since it is smaller than the sum of its proper divisors (2972814996).

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

1825782444 is a wasteful number, since it uses less digits than its factorization.

1825782444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921 (or 4907 counting only the distinct ones).

The product of its digits is 573440, while the sum is 45.

The square root of 1825782444 is about 42729.1755595635. The cubic root of 1825782444 is about 1222.2208147140.

The spelling of 1825782444 in words is "one billion, eight hundred twenty-five million, seven hundred eighty-two thousand, four hundred forty-four".