404968593 has 16 divisors (see below), whose sum is σ = 565235712. Its totient is φ = 257586000.

The previous prime is 404968549. The next prime is 404968633. The reversal of 404968593 is 395869404.

It is not a de Polignac number, because 404968593 - 2¹⁴ = 404952209 is a prime.

It is a super-2 number, since 2×404968593² = 327999122632799298, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (404968513) 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 15 ways as a sum of consecutive naturals, for example, 24063 + ... + 37268.

It is an arithmetic number, because the mean of its divisors is an integer number (35327232).

Almost surely, 2^404968593 is an apocalyptic number.

It is an amenable number.

404968593 is a deficient number, since it is larger than the sum of its proper divisors (160267119).

404968593 is a wasteful number, since it uses less digits than its factorization.

404968593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61436.

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 404968593 is about 20123.8314691810. The cubic root of 404968593 is about 739.8444967868.

The spelling of 404968593 in words is "four hundred four million, nine hundred sixty-eight thousand, five hundred ninety-three".