1003004004 has 24 divisors (see below), whose sum is σ = 2354361408. Its totient is φ = 332332000.

The previous prime is 1003003999. The next prime is 1003004059. The reversal of 1003004004 is 4004003001.

It is a super-3 number, since 3×1003004004³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248247 + ... + 252254.

It is an arithmetic number, because the mean of its divisors is an integer number (98098392).

Almost surely, 2^1003004004 is an apocalyptic number.

It is an amenable number.

1003004004 is an abundant number, since it is smaller than the sum of its proper divisors (1351357404).

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

1003004004 is a wasteful number, since it uses less digits than its factorization.

1003004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500675 (or 500673 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1003004004 is about 31670.2384582118. The cubic root of 1003004004 is about 1001.0003336656. Note that the first 3 decimals are identical.

Adding to 1003004004 its reverse (4004003001), we get a palindrome (5007007005).

The spelling of 1003004004 in words is "one billion, three million, four thousand, four".