404120313 has 32 divisors (see below), whose sum is σ = 621196800. Its totient is φ = 259459200.

The previous prime is 404120279. The next prime is 404120317. The reversal of 404120313 is 313021404.

It is not a de Polignac number, because 404120313 - 2²¹ = 402023161 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (404120317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85143 + ... + 89763.

It is an arithmetic number, because the mean of its divisors is an integer number (19412400).

Almost surely, 2^404120313 is an apocalyptic number.

It is an amenable number.

404120313 is a deficient number, since it is larger than the sum of its proper divisors (217076487).

404120313 is a wasteful number, since it uses less digits than its factorization.

404120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 404120313 is about 20102.7439171870. The cubic root of 404120313 is about 739.3275562839.

Adding to 404120313 its reverse (313021404), we get a palindrome (717141717).

The spelling of 404120313 in words is "four hundred four million, one hundred twenty thousand, three hundred thirteen".