400401329 has 2 divisors, whose sum is σ = 400401330. Its totient is φ = 400401328.

The previous prime is 400401311. The next prime is 400401343. The reversal of 400401329 is 923104004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 342990400 + 57410929 = 18520^2 + 7577^2 .

It is a cyclic number.

It is not a de Polignac number, because 400401329 - 2⁸ = 400401073 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (400401349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200200664 + 200200665.

It is an arithmetic number, because the mean of its divisors is an integer number (200200665).

Almost surely, 2^400401329 is an apocalyptic number.

It is an amenable number.

400401329 is a deficient number, since it is larger than the sum of its proper divisors (1).

400401329 is an equidigital number, since it uses as much as digits as its factorization.

400401329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 400401329 is about 20010.0307096216. The cubic root of 400401329 is about 737.0526354746.

The spelling of 400401329 in words is "four hundred million, four hundred one thousand, three hundred twenty-nine".