1005440382 has 48 divisors (see below), whose sum is σ = 2260440000. Its totient is φ = 322604352.

The previous prime is 1005440363. The next prime is 1005440389. The reversal of 1005440382 is 2830445001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005440389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179419 + ... + 184937.

It is an arithmetic number, because the mean of its divisors is an integer number (47092500).

Almost surely, 2^1005440382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005440382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130220000).

1005440382 is an abundant number, since it is smaller than the sum of its proper divisors (1254999618).

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

1005440382 is a wasteful number, since it uses less digits than its factorization.

1005440382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1005440382 is about 31708.6799157581. The cubic root of 1005440382 is about 1001.8101819309.

Adding to 1005440382 its reverse (2830445001), we get a palindrome (3835885383).

The spelling of 1005440382 in words is "one billion, five million, four hundred forty thousand, three hundred eighty-two".