1004000000 has 126 divisors (see below), whose sum is σ = 2515045932. Its totient is φ = 400000000.

The previous prime is 1003999973. The next prime is 1004000003. The reversal of 1004000000 is 4001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1004000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3999875 + ... + 4000125.

It is an arithmetic number, because the mean of its divisors is an integer number (19960682).

Almost surely, 2^1004000000 is an apocalyptic number.

1004000000 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 1004000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257522966).

1004000000 is an abundant number, since it is smaller than the sum of its proper divisors (1511045932).

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

1004000000 is an frugal number, since it uses more digits than its factorization.

1004000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 1004000000 is about 31685.9590355097. The cubic root of 1004000000 is about 1001.3315594957.

Adding to 1004000000 its reverse (4001), we get a palindrome (1004004001).

It can be divided in two parts, 100 and 4000000, that multiplied together give a square (400000000 = 20000²).

The spelling of 1004000000 in words is "one billion, four million", and thus it is an aban number.