400128629 has 2 divisors, whose sum is σ = 400128630. Its totient is φ = 400128628.

The previous prime is 400128583. The next prime is 400128637. The reversal of 400128629 is 926821004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 399600100 + 528529 = 19990^2 + 727^2 .

It is a cyclic number.

It is not a de Polignac number, because 400128629 - 2²⁰ = 399080053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400128595 and 400128604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400128229) by changing a digit.

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 as a sum of consecutive naturals, namely, 200064314 + 200064315.

It is an arithmetic number, because the mean of its divisors is an integer number (200064315).

Almost surely, 2^400128629 is an apocalyptic number.

It is an amenable number.

400128629 is a deficient number, since it is larger than the sum of its proper divisors (1).

400128629 is an equidigital number, since it uses as much as digits as its factorization.

400128629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 400128629 is about 20003.2154665194. The cubic root of 400128629 is about 736.8852701451.

The spelling of 400128629 in words is "four hundred million, one hundred twenty-eight thousand, six hundred twenty-nine".