457201 has 2 divisors, whose sum is σ = 457202. Its totient is φ = 457200.

The previous prime is 457189. The next prime is 457213. The reversal of 457201 is 102754.

It is a balanced prime because it is at equal distance from previous prime (457189) and next prime (457213).

It can be written as a sum of positive squares in only one way, i.e., 456976 + 225 = 676^2 + 15^2 .

It is a cyclic number.

It is not a de Polignac number, because 457201 - 2¹⁵ = 424433 is a prime.

It is not a weakly prime, because it can be changed into another prime (457241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228600 + 228601.

It is an arithmetic number, because the mean of its divisors is an integer number (228601).

2⁴⁵⁷²⁰¹ is an apocalyptic number.

It is an amenable number.

457201 is a deficient number, since it is larger than the sum of its proper divisors (1).

457201 is an equidigital number, since it uses as much as digits as its factorization.

457201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 457201 is about 676.1663996384. The cubic root of 457201 is about 77.0375372158.

Adding to 457201 its reverse (102754), we get a palindrome (559955).

The spelling of 457201 in words is "four hundred fifty-seven thousand, two hundred one".