1005086440 has 16 divisors (see below), whose sum is σ = 2261444580. Its totient is φ = 402034560.

The previous prime is 1005086413. The next prime is 1005086443. The reversal of 1005086440 is 446805001.

It can be written as a sum of positive squares in 2 ways, for example, as 1003242276 + 1844164 = 31674^2 + 1358^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1005086399 and 1005086408.

It is not an unprimeable number, because it can be changed into a prime (1005086443) 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 3 ways as a sum of consecutive naturals, for example, 12563541 + ... + 12563620.

Almost surely, 2^1005086440 is an apocalyptic number.

1005086440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005086440 is an abundant number, since it is smaller than the sum of its proper divisors (1256358140).

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

1005086440 is a wasteful number, since it uses less digits than its factorization.

1005086440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25127172 (or 25127168 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 1005086440 is about 31703.0982713047. The cubic root of 1005086440 is about 1001.6926134433.

The spelling of 1005086440 in words is "one billion, five million, eighty-six thousand, four hundred forty".