540461 has 2 divisors, whose sum is σ = 540462. Its totient is φ = 540460.

The previous prime is 540437. The next prime is 540469. The reversal of 540461 is 164045.

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., 498436 + 42025 = 706^2 + 205^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-540461 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 13.

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 540461.

It is not a weakly prime, because it can be changed into another prime (540469) 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, 270230 + 270231.

It is an arithmetic number, because the mean of its divisors is an integer number (270231).

2⁵⁴⁰⁴⁶¹ is an apocalyptic number.

It is an amenable number.

540461 is a deficient number, since it is larger than the sum of its proper divisors (1).

540461 is an equidigital number, since it uses as much as digits as its factorization.

540461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 540461 is about 735.1605266879. The cubic root of 540461 is about 81.4556949904.

It can be divided in two parts, 540 and 461, that added together give a palindrome (1001).

The spelling of 540461 in words is "five hundred forty thousand, four hundred sixty-one".