404007413 has 2 divisors, whose sum is σ = 404007414. Its totient is φ = 404007412.

The previous prime is 404007389. The next prime is 404007433. The reversal of 404007413 is 314700404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274001809 + 130005604 = 16553^2 + 11402^2 .

It is a cyclic number.

It is not a de Polignac number, because 404007413 - 2¹⁶ = 403941877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404007433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202003706 + 202003707.

It is an arithmetic number, because the mean of its divisors is an integer number (202003707).

Almost surely, 2^404007413 is an apocalyptic number.

It is an amenable number.

404007413 is a deficient number, since it is larger than the sum of its proper divisors (1).

404007413 is an equidigital number, since it uses as much as digits as its factorization.

404007413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 404007413 is about 20099.9356466632. The cubic root of 404007413 is about 739.2587006711.

Adding to 404007413 its reverse (314700404), we get a palindrome (718707817).

The spelling of 404007413 in words is "four hundred four million, seven thousand, four hundred thirteen".