1004240000 has 80 divisors (see below), whose sum is σ = 2500191870. Its totient is φ = 401664000.

The previous prime is 1004239993. The next prime is 1004240059. The reversal of 1004240000 is 424001.

It can be written as a sum of positive squares in 5 ways, for example, as 209902144 + 794337856 = 14488^2 + 28184^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 73724 + ... + 86276.

Almost surely, 2^1004240000 is an apocalyptic number.

1004240000 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 1004240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250095935).

1004240000 is an abundant number, since it is smaller than the sum of its proper divisors (1495951870).

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

1004240000 is an frugal number, since it uses more digits than its factorization.

1004240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12587 (or 12560 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1004240000 is about 31689.7459756307. The cubic root of 1004240000 is about 1001.4113405142.

Adding to 1004240000 its reverse (424001), we get a palindrome (1004664001).

The spelling of 1004240000 in words is "one billion, four million, two hundred forty thousand".