1005224440 has 128 divisors (see below), whose sum is σ = 2529792000. Its totient is φ = 359399040.

The previous prime is 1005224411. The next prime is 1005224471. The reversal of 1005224440 is 444225001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4205841 + ... + 4206079.

It is an arithmetic number, because the mean of its divisors is an integer number (19764000).

Almost surely, 2^1005224440 is an apocalyptic number.

1005224440 is a gapful number since it is divisible by the number (10) 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 1005224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264896000).

1005224440 is an abundant number, since it is smaller than the sum of its proper divisors (1524567560).

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

1005224440 is a wasteful number, since it uses less digits than its factorization.

1005224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 1005224440 is about 31705.2746400343. The cubic root of 1005224440 is about 1001.7384560193.

1005224440 divided by its sum of digits (22) gives a triangular number (45692020 = T₉₅₅₉).

Adding to 1005224440 its reverse (444225001), we get a palindrome (1449449441).

The spelling of 1005224440 in words is "one billion, five million, two hundred twenty-four thousand, four hundred forty".