404162993 has 12 divisors (see below), whose sum is σ = 438240348. Its totient is φ = 372565440.

The previous prime is 404162989. The next prime is 404162999. The reversal of 404162993 is 399261404.

It can be written as a sum of positive squares in 6 ways, for example, as 59243809 + 344919184 = 7697^2 + 18572^2 .

It is not a de Polignac number, because 404162993 - 2² = 404162989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (404162999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187703 + ... + 189843.

It is an arithmetic number, because the mean of its divisors is an integer number (36520029).

Almost surely, 2^404162993 is an apocalyptic number.

It is an amenable number.

404162993 is a deficient number, since it is larger than the sum of its proper divisors (34077355).

404162993 is a wasteful number, since it uses less digits than its factorization.

404162993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 404162993 is about 20103.8054357875. The cubic root of 404162993 is about 739.3535826828.

The spelling of 404162993 in words is "four hundred four million, one hundred sixty-two thousand, nine hundred ninety-three".