542401 has 2 divisors, whose sum is σ = 542402. Its totient is φ = 542400.

The previous prime is 542371. The next prime is 542441. The reversal of 542401 is 104245.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 524176 + 18225 = 724^2 + 135^2 .

It is a cyclic number.

It is not a de Polignac number, because 542401 - 2⁹ = 541889 is a prime.

542401 is a lucky number.

It is a nialpdrome in base 15.

It is not a weakly prime, because it can be changed into another prime (542441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 271200 + 271201.

It is an arithmetic number, because the mean of its divisors is an integer number (271201).

2⁵⁴²⁴⁰¹ is an apocalyptic number.

It is an amenable number.

542401 is a deficient number, since it is larger than the sum of its proper divisors (1).

542401 is an equidigital number, since it uses as much as digits as its factorization.

542401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 542401 is about 736.4787844874. The cubic root of 542401 is about 81.5530411123.

Adding to 542401 its reverse (104245), we get a palindrome (646646).

The spelling of 542401 in words is "five hundred forty-two thousand, four hundred one".