405724589 has 2 divisors, whose sum is σ = 405724590. Its totient is φ = 405724588.

The previous prime is 405724549. The next prime is 405724619. The reversal of 405724589 is 985427504.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405015625 + 708964 = 20125^2 + 842^2 .

It is a cyclic number.

It is not a de Polignac number, because 405724589 - 2¹⁶ = 405659053 is a prime.

It is a super-2 number, since 2×405724589² = 329224884238437842, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405724549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202862294 + 202862295.

It is an arithmetic number, because the mean of its divisors is an integer number (202862295).

Almost surely, 2^405724589 is an apocalyptic number.

It is an amenable number.

405724589 is a deficient number, since it is larger than the sum of its proper divisors (1).

405724589 is an equidigital number, since it uses as much as digits as its factorization.

405724589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 403200, while the sum is 44.

The square root of 405724589 is about 20142.6063110016. The cubic root of 405724589 is about 740.3045915565.

The spelling of 405724589 in words is "four hundred five million, seven hundred twenty-four thousand, five hundred eighty-nine".