404144793 has 24 divisors (see below), whose sum is σ = 631055880. Its totient is φ = 247760640.

The previous prime is 404144779. The next prime is 404144827. The reversal of 404144793 is 397441404.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 401481369 = 1632^2 + 20037^2 .

It is not a de Polignac number, because 404144793 - 2⁸ = 404144537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (404144593) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25053 + ... + 37893.

It is an arithmetic number, because the mean of its divisors is an integer number (26293995).

Almost surely, 2^404144793 is an apocalyptic number.

It is an amenable number.

404144793 is a deficient number, since it is larger than the sum of its proper divisors (226911087).

404144793 is a wasteful number, since it uses less digits than its factorization.

404144793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13129 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 404144793 is about 20103.3527800713. The cubic root of 404144793 is about 739.3424844894.

The spelling of 404144793 in words is "four hundred four million, one hundred forty-four thousand, seven hundred ninety-three".