2003404400 has 120 divisors (see below), whose sum is σ = 4954839120. Its totient is φ = 778014720.

The previous prime is 2003404363. The next prime is 2003404411. The reversal of 2003404400 is 44043002.

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, 4626584 + ... + 4627016.

It is an arithmetic number, because the mean of its divisors is an integer number (41290326).

Almost surely, 2^2003404400 is an apocalyptic number.

2003404400 is a gapful number since it is divisible by the number (20) 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 2003404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477419560).

2003404400 is an abundant number, since it is smaller than the sum of its proper divisors (2951434720).

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

2003404400 is a wasteful number, since it uses less digits than its factorization.

2003404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2003404400 is about 44759.4057154471. The cubic root of 2003404400 is about 1260.6355238593.

Adding to 2003404400 its reverse (44043002), we get a palindrome (2047447402).

The spelling of 2003404400 in words is "two billion, three million, four hundred four thousand, four hundred".