1004334400 has 42 divisors (see below), whose sum is σ = 2471294270. Its totient is φ = 401733120.

The previous prime is 1004334391. The next prime is 1004334413. The reversal of 1004334400 is 44334001.

It can be written as a sum of positive squares in 3 ways, for example, as 1218816 + 1003115584 = 1104^2 + 31672^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 312255 + ... + 315454.

Almost surely, 2^1004334400 is an apocalyptic number.

1004334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004334400 is an abundant number, since it is smaller than the sum of its proper divisors (1466959870).

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

1004334400 is an equidigital number, since it uses as much as digits as its factorization.

1004334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627731 (or 627716 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1004334400 is about 31691.2353814111. The cubic root of 1004334400 is about 1001.4427175651.

Adding to 1004334400 its reverse (44334001), we get a palindrome (1048668401).

The spelling of 1004334400 in words is "one billion, four million, three hundred thirty-four thousand, four hundred".