400314413 has 2 divisors, whose sum is σ = 400314414. Its totient is φ = 400314412.

The previous prime is 400314403. The next prime is 400314437. The reversal of 400314413 is 314413004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 381147529 + 19166884 = 19523^2 + 4378^2 .

It is a cyclic number.

It is not a de Polignac number, because 400314413 - 2²⁴ = 383537197 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400314403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200157206 + 200157207.

It is an arithmetic number, because the mean of its divisors is an integer number (200157207).

Almost surely, 2^400314413 is an apocalyptic number.

It is an amenable number.

400314413 is a deficient number, since it is larger than the sum of its proper divisors (1).

400314413 is an equidigital number, since it uses as much as digits as its factorization.

400314413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 400314413 is about 20007.8587809890. The cubic root of 400314413 is about 736.9993004012. Note that the first 3 decimals are identical.

Adding to 400314413 its reverse (314413004), we get a palindrome (714727417).

It can be divided in two parts, 40031 and 4413, that added together give a palindrome (44444).

The spelling of 400314413 in words is "four hundred million, three hundred fourteen thousand, four hundred thirteen".