462401 has 2 divisors, whose sum is σ = 462402. Its totient is φ = 462400.

The previous prime is 462377. The next prime is 462409. The reversal of 462401 is 104264.

It is a Cunningham number, because it is equal to 680²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 462400 + 1 = 680^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 462401 - 2⁶ = 462337 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 462401.

It is not a weakly prime, because it can be changed into another prime (462409) 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, 231200 + 231201.

It is an arithmetic number, because the mean of its divisors is an integer number (231201).

2⁴⁶²⁴⁰¹ is an apocalyptic number.

It is an amenable number.

462401 is a deficient number, since it is larger than the sum of its proper divisors (1).

462401 is an equidigital number, since it uses as much as digits as its factorization.

462401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 462401 is about 680.0007352937. Note that the first 3 decimals coincide. The cubic root of 462401 is about 77.3285004081.

Adding to 462401 its reverse (104264), we get a palindrome (566665).

The spelling of 462401 in words is "four hundred sixty-two thousand, four hundred one".