1004140305 has 48 divisors (see below), whose sum is σ = 2008531200. Its totient is φ = 454564224.

The previous prime is 1004140297. The next prime is 1004140327. The reversal of 1004140305 is 5030414001.

It is a happy number.

It is not a de Polignac number, because 1004140305 - 2³ = 1004140297 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16971 + ... + 47919.

It is an arithmetic number, because the mean of its divisors is an integer number (41844400).

Almost surely, 2^1004140305 is an apocalyptic number.

1004140305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1004140305 is an abundant number, since it is smaller than the sum of its proper divisors (1004390895).

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

1004140305 is a wasteful number, since it uses less digits than its factorization.

1004140305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31070 (or 31067 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1004140305 is about 31688.1729514341. The cubic root of 1004140305 is about 1001.3782013551.

Adding to 1004140305 its reverse (5030414001), we get a palindrome (6034554306).

The spelling of 1004140305 in words is "one billion, four million, one hundred forty thousand, three hundred five".