404121607 has 2 divisors, whose sum is σ = 404121608. Its totient is φ = 404121606.

The previous prime is 404121589. The next prime is 404121617. The reversal of 404121607 is 706121404.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 404121607 - 2⁷ = 404121479 is a prime.

It is a super-3 number, since 3×404121607³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404121617) 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 as a sum of consecutive naturals, namely, 202060803 + 202060804.

It is an arithmetic number, because the mean of its divisors is an integer number (202060804).

Almost surely, 2^404121607 is an apocalyptic number.

404121607 is a deficient number, since it is larger than the sum of its proper divisors (1).

404121607 is an equidigital number, since it uses as much as digits as its factorization.

404121607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 404121607 is about 20102.7761018224. The cubic root of 404121607 is about 739.3283453962.

The spelling of 404121607 in words is "four hundred four million, one hundred twenty-one thousand, six hundred seven".