382785440 has 48 divisors (see below), whose sum is σ = 914525640. Its totient is φ = 151388160.

The previous prime is 382785433. The next prime is 382785443. The reversal of 382785440 is 44587283.

It can be written as a sum of positive squares in 4 ways, for example, as 300120976 + 82664464 = 17324^2 + 9092^2 .

It is not an unprimeable number, because it can be changed into a prime (382785443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 800 + ... + 27680.

Almost surely, 2^382785440 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 382785440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457262820).

382785440 is an abundant number, since it is smaller than the sum of its proper divisors (531740200).

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

382785440 is a wasteful number, since it uses less digits than its factorization.

382785440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26985 (or 26977 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The square root of 382785440 is about 19564.9032709083. The cubic root of 382785440 is about 726.0811076401.

The spelling of 382785440 in words is "three hundred eighty-two million, seven hundred eighty-five thousand, four hundred forty".