404768257 has 2 divisors, whose sum is σ = 404768258. Its totient is φ = 404768256.

The previous prime is 404768227. The next prime is 404768269. The reversal of 404768257 is 752867404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 393585921 + 11182336 = 19839^2 + 3344^2 .

It is a cyclic number.

It is not a de Polignac number, because 404768257 - 2⁷ = 404768129 is a prime.

It is not a weakly prime, because it can be changed into another prime (404768207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202384128 + 202384129.

It is an arithmetic number, because the mean of its divisors is an integer number (202384129).

Almost surely, 2^404768257 is an apocalyptic number.

It is an amenable number.

404768257 is a deficient number, since it is larger than the sum of its proper divisors (1).

404768257 is an equidigital number, since it uses as much as digits as its factorization.

404768257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 376320, while the sum is 43.

The square root of 404768257 is about 20118.8532724905. The cubic root of 404768257 is about 739.7224775017.

The spelling of 404768257 in words is "four hundred four million, seven hundred sixty-eight thousand, two hundred fifty-seven".