540032401 has 2 divisors, whose sum is σ = 540032402. Its totient is φ = 540032400.

The previous prime is 540032377. The next prime is 540032407. The reversal of 540032401 is 104230045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 534719376 + 5313025 = 23124^2 + 2305^2 .

It is a cyclic number.

It is not a de Polignac number, because 540032401 - 2¹⁹ = 539508113 is a prime.

It is not a weakly prime, because it can be changed into another prime (540032407) 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, 270016200 + 270016201.

It is an arithmetic number, because the mean of its divisors is an integer number (270016201).

Almost surely, 2^540032401 is an apocalyptic number.

It is an amenable number.

540032401 is a deficient number, since it is larger than the sum of its proper divisors (1).

540032401 is an equidigital number, since it uses as much as digits as its factorization.

540032401 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 19.

The square root of 540032401 is about 23238.5972253060. The cubic root of 540032401 is about 814.3415716611.

Adding to 540032401 its reverse (104230045), we get a palindrome (644262446).

The spelling of 540032401 in words is "five hundred forty million, thirty-two thousand, four hundred one".