393600401 has 2 divisors, whose sum is σ = 393600402. Its totient is φ = 393600400.

The previous prime is 393600367. The next prime is 393600407. The reversal of 393600401 is 104006393.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312582400 + 81018001 = 17680^2 + 9001^2 .

It is an emirp because it is prime and its reverse (104006393) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 393600401 - 2²⁶ = 326491537 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (393600407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196800200 + 196800201.

It is an arithmetic number, because the mean of its divisors is an integer number (196800201).

Almost surely, 2^393600401 is an apocalyptic number.

It is an amenable number.

393600401 is a deficient number, since it is larger than the sum of its proper divisors (1).

393600401 is an equidigital number, since it uses as much as digits as its factorization.

393600401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 393600401 is about 19839.3649343924. The cubic root of 393600401 is about 732.8557686570.

Adding to 393600401 its reverse (104006393), we get a palindrome (497606794).

The spelling of 393600401 in words is "three hundred ninety-three million, six hundred thousand, four hundred one".