400204033 has 2 divisors, whose sum is σ = 400204034. Its totient is φ = 400204032.

The previous prime is 400204001. The next prime is 400204039. The reversal of 400204033 is 330402004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 281132289 + 119071744 = 16767^2 + 10912^2 .

It is a cyclic number.

It is not a de Polignac number, because 400204033 - 2⁵ = 400204001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400203998 and 400204016.

It is not a weakly prime, because it can be changed into another prime (400204039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200102016 + 200102017.

It is an arithmetic number, because the mean of its divisors is an integer number (200102017).

Almost surely, 2^400204033 is an apocalyptic number.

It is an amenable number.

400204033 is a deficient number, since it is larger than the sum of its proper divisors (1).

400204033 is an equidigital number, since it uses as much as digits as its factorization.

400204033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 400204033 is about 20005.1001747054. The cubic root of 400204033 is about 736.9315557666.

Adding to 400204033 its reverse (330402004), we get a palindrome (730606037).

The spelling of 400204033 in words is "four hundred million, two hundred four thousand, thirty-three".