405959 has 2 divisors, whose sum is σ = 405960. Its totient is φ = 405958.

The previous prime is 405949. The next prime is 405967. The reversal of 405959 is 959504.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 405959 - 2⁸ = 405703 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405959.

It is not a weakly prime, because it can be changed into another prime (405949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202979 + 202980.

It is an arithmetic number, because the mean of its divisors is an integer number (202980).

2⁴⁰⁵⁹⁵⁹ is an apocalyptic number.

405959 is a deficient number, since it is larger than the sum of its proper divisors (1).

405959 is an equidigital number, since it uses as much as digits as its factorization.

405959 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 405959 is about 637.1491191236. The cubic root of 405959 is about 74.0447136635.

It can be divided in two parts, 40595 and 9, that added together give a palindrome (40604).

The spelling of 405959 in words is "four hundred five thousand, nine hundred fifty-nine".