402401413 has 2 divisors, whose sum is σ = 402401414. Its totient is φ = 402401412.

The previous prime is 402401393. The next prime is 402401423. The reversal of 402401413 is 314104204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256064004 + 146337409 = 16002^2 + 12097^2 .

It is a cyclic number.

It is not a de Polignac number, because 402401413 - 2¹³ = 402393221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (402401423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201200706 + 201200707.

It is an arithmetic number, because the mean of its divisors is an integer number (201200707).

Almost surely, 2^402401413 is an apocalyptic number.

It is an amenable number.

402401413 is a deficient number, since it is larger than the sum of its proper divisors (1).

402401413 is an equidigital number, since it uses as much as digits as its factorization.

402401413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 402401413 is about 20059.9454884603. The cubic root of 402401413 is about 738.2778390226.

Adding to 402401413 its reverse (314104204), we get a palindrome (716505617).

The spelling of 402401413 in words is "four hundred two million, four hundred one thousand, four hundred thirteen".