1003411400 has 96 divisors (see below), whose sum is σ = 2479562280. Its totient is φ = 376320000.

The previous prime is 1003411373. The next prime is 1003411421. The reversal of 1003411400 is 41143001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 58094884 + 945316516 = 7622^2 + 30746^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1431050 + ... + 1431750.

Almost surely, 2^1003411400 is an apocalyptic number.

1003411400 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 1003411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239781140).

1003411400 is an abundant number, since it is smaller than the sum of its proper divisors (1476150880).

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

1003411400 is a wasteful number, since it uses less digits than its factorization.

1003411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1146 counting only the distinct ones).

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

The square root of 1003411400 is about 31676.6696481811. The cubic root of 1003411400 is about 1001.1358427062.

Adding to 1003411400 its reverse (41143001), we get a palindrome (1044554401).

The spelling of 1003411400 in words is "one billion, three million, four hundred eleven thousand, four hundred".