404968257 has 12 divisors (see below), whose sum is σ = 585145600. Its totient is φ = 269890488.

The previous prime is 404968253. The next prime is 404968279. The reversal of 404968257 is 752869404.

It is a happy number.

It is not a de Polignac number, because 404968257 - 2² = 404968253 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404968253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33744 + ... + 44142.

Almost surely, 2^404968257 is an apocalyptic number.

It is an amenable number.

404968257 is a deficient number, since it is larger than the sum of its proper divisors (180177343).

404968257 is a wasteful number, since it uses less digits than its factorization.

404968257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14732 (or 14729 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 404968257 is about 20123.8231208685. The cubic root of 404968257 is about 739.8442921719.

The spelling of 404968257 in words is "four hundred four million, nine hundred sixty-eight thousand, two hundred fifty-seven".