1000004000 has 144 divisors (see below), whose sum is σ = 2532380760. Its totient is φ = 388044800.

The previous prime is 1000003999. The next prime is 1000004023. The reversal of 1000004000 is 4000001.

It can be written as a sum of positive squares in 12 ways, for example, as 22316176 + 977687824 = 4724^2 + 31268^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11235956 + ... + 11236044.

Almost surely, 2^1000004000 is an apocalyptic number.

1000004000 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 1000004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266190380).

1000004000 is an abundant number, since it is smaller than the sum of its proper divisors (1532376760).

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

1000004000 is an frugal number, since it uses more digits than its factorization.

1000004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 149 counting only the distinct ones).

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

The square root of 1000004000 is about 31622.8398471738. The cubic root of 1000004000 is about 1000.0013333316.

Adding to 1000004000 its reverse (4000001), we get a palindrome (1004004001).

It can be divided in two parts, 100000 and 4000, that multiplied together give a square (400000000 = 20000²).

The spelling of 1000004000 in words is "one billion, four thousand".