1004350400 has 84 divisors (see below), whose sum is σ = 2551176000. Its totient is φ = 388761600.

The previous prime is 1004350367. The next prime is 1004350409. The reversal of 1004350400 is 40534001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004350409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 39476 + ... + 59724.

Almost surely, 2^1004350400 is an apocalyptic number.

1004350400 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 1004350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275588000).

1004350400 is an abundant number, since it is smaller than the sum of its proper divisors (1546825600).

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

1004350400 is a wasteful number, since it uses less digits than its factorization.

1004350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20302 (or 20287 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1004350400 is about 31691.4878161313. The cubic root of 1004350400 is about 1001.4480355144.

Adding to 1004350400 its reverse (40534001), we get a palindrome (1044884401).

The spelling of 1004350400 in words is "one billion, four million, three hundred fifty thousand, four hundred".