40459 has 2 divisors, whose sum is σ = 40460. Its totient is φ = 40458.

The previous prime is 40433. The next prime is 40471. The reversal of 40459 is 95404.

40459 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 40459 - 2⁵ = 40427 is a prime.

It is a Chen prime.

40459 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (40429) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20229 + 20230.

It is an arithmetic number, because the mean of its divisors is an integer number (20230).

2⁴⁰⁴⁵⁹ is an apocalyptic number.

40459 is a deficient number, since it is larger than the sum of its proper divisors (1).

40459 is an equidigital number, since it uses as much as digits as its factorization.

40459 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 40459 is about 201.1442268622. The cubic root of 40459 is about 34.3298348987.

Multiplying 40459 by its sum of digits (22), we get a palindrome (890098).

Subtracting 40459 from its reverse (95404), we obtain a palindrome (54945).

The spelling of 40459 in words is "forty thousand, four hundred fifty-nine".