402005413 has 2 divisors, whose sum is σ = 402005414. Its totient is φ = 402005412.

The previous prime is 402005411. The next prime is 402005447. The reversal of 402005413 is 314500204.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 316590849 + 85414564 = 17793^2 + 9242^2 .

It is a cyclic number.

It is not a de Polignac number, because 402005413 - 2¹ = 402005411 is a prime.

Together with 402005411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (402005411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201002706 + 201002707.

It is an arithmetic number, because the mean of its divisors is an integer number (201002707).

Almost surely, 2^402005413 is an apocalyptic number.

It is an amenable number.

402005413 is a deficient number, since it is larger than the sum of its proper divisors (1).

402005413 is an equidigital number, since it uses as much as digits as its factorization.

402005413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 402005413 is about 20050.0726432599. The cubic root of 402005413 is about 738.0355817726.

Adding to 402005413 its reverse (314500204), we get a palindrome (716505617).

The spelling of 402005413 in words is "four hundred two million, five thousand, four hundred thirteen".