1005440000 has 110 divisors (see below), whose sum is σ = 2513167404. Its totient is φ = 401920000.

The previous prime is 1005439949. The next prime is 1005440039. The reversal of 1005440000 is 445001.

1005440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 639215 + ... + 640785.

Almost surely, 2^1005440000 is an apocalyptic number.

1005440000 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 1005440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256583702).

1005440000 is an abundant number, since it is smaller than the sum of its proper divisors (1507727404).

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

1005440000 is an frugal number, since it uses more digits than its factorization.

1005440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 1005440000 is about 31708.6738921703. The cubic root of 1005440000 is about 1001.8100550573.

Adding to 1005440000 its reverse (445001), we get a palindrome (1005885001).

The spelling of 1005440000 in words is "one billion, five million, four hundred forty thousand".