404272993 has 2 divisors, whose sum is σ = 404272994. Its totient is φ = 404272992.

The previous prime is 404272907. The next prime is 404273017. The reversal of 404272993 is 399272404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 346406544 + 57866449 = 18612^2 + 7607^2 .

It is a cyclic number.

It is not a de Polignac number, because 404272993 - 2¹⁷ = 404141921 is a prime.

It is not a weakly prime, because it can be changed into another prime (404212993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202136496 + 202136497.

It is an arithmetic number, because the mean of its divisors is an integer number (202136497).

Almost surely, 2^404272993 is an apocalyptic number.

It is an amenable number.

404272993 is a deficient number, since it is larger than the sum of its proper divisors (1).

404272993 is an equidigital number, since it uses as much as digits as its factorization.

404272993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 404272993 is about 20106.5410501160. The cubic root of 404272993 is about 739.4206525846.

The spelling of 404272993 in words is "four hundred four million, two hundred seventy-two thousand, nine hundred ninety-three".