1004002000 has 40 divisors (see below), whose sum is σ = 2427681672. Its totient is φ = 401600000.

The previous prime is 1004001979. The next prime is 1004002033. The reversal of 1004002000 is 2004001.

It can be written as a sum of positive squares in 4 ways, for example, as 10995856 + 993006144 = 3316^2 + 31512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 249001 + ... + 253000.

Almost surely, 2^1004002000 is an apocalyptic number.

1004002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004002000 is an abundant number, since it is smaller than the sum of its proper divisors (1423679672).

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

1004002000 is an equidigital number, since it uses as much as digits as its factorization.

1004002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502024 (or 502008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 1004002000 is about 31685.9905952142. The cubic root of 1004002000 is about 1001.3322243900.

Adding to 1004002000 its reverse (2004001), we get a palindrome (1006006001).

It can be divided in two parts, 100400 and 2000, that added together give a square (102400 = 320²).

The spelling of 1004002000 in words is "one billion, four million, two thousand".