314400413 has 2 divisors, whose sum is σ = 314400414. Its totient is φ = 314400412.

The previous prime is 314400407. The next prime is 314400451. The reversal of 314400413 is 314004413.

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., 283686649 + 30713764 = 16843^2 + 5542^2 .

It is an emirp because it is prime and its reverse (314004413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 314400413 - 2⁶ = 314400349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314400313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157200206 + 157200207.

It is an arithmetic number, because the mean of its divisors is an integer number (157200207).

Almost surely, 2^314400413 is an apocalyptic number.

It is an amenable number.

314400413 is a deficient number, since it is larger than the sum of its proper divisors (1).

314400413 is an equidigital number, since it uses as much as digits as its factorization.

314400413 is an evil number, because the sum of its binary digits is even.

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

The square root of 314400413 is about 17731.3398534910. The cubic root of 314400413 is about 679.9772289088.

Adding to 314400413 its reverse (314004413), we get a palindrome (628404826).

The spelling of 314400413 in words is "three hundred fourteen million, four hundred thousand, four hundred thirteen".