1000400321 has 2 divisors, whose sum is σ = 1000400322. Its totient is φ = 1000400320.

The previous prime is 1000400273. The next prime is 1000400347. The reversal of 1000400321 is 1230040001.

It is a happy number.

1000400321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 712623025 + 287777296 = 26695^2 + 16964^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000400321 - 2⁶ = 1000400257 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000400371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500200160 + 500200161.

It is an arithmetic number, because the mean of its divisors is an integer number (500200161).

Almost surely, 2^1000400321 is an apocalyptic number.

It is an amenable number.

1000400321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000400321 is an equidigital number, since it uses as much as digits as its factorization.

1000400321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1000400321 is about 31629.1055991155. The cubic root of 1000400321 is about 1000.1334225310.

Adding to 1000400321 its reverse (1230040001), we get a palindrome (2230440322).

The spelling of 1000400321 in words is "one billion, four hundred thousand, three hundred twenty-one".