1004311400 has 48 divisors (see below), whose sum is σ = 2391995340. Its totient is φ = 391923200.

The previous prime is 1004311391. The next prime is 1004311403. The reversal of 1004311400 is 41134001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 396886084 + 607425316 = 19922^2 + 24646^2 .

It is not an unprimeable number, because it can be changed into a prime (1004311403) 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, 53039 + ... + 69438.

Almost surely, 2^1004311400 is an apocalyptic number.

1004311400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004311400 is an abundant number, since it is smaller than the sum of its proper divisors (1387683940).

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

1004311400 is a wasteful number, since it uses less digits than its factorization.

1004311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122534 (or 122525 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1004311400 is about 31690.8725029779. The cubic root of 1004311400 is about 1001.4350729139.

Adding to 1004311400 its reverse (41134001), we get a palindrome (1045445401).

The spelling of 1004311400 in words is "one billion, four million, three hundred eleven thousand, four hundred".