458401 has 2 divisors, whose sum is σ = 458402. Its totient is φ = 458400.

The previous prime is 458399. The next prime is 458407. The reversal of 458401 is 104854.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 22801 = 660^2 + 151^2 .

It is a cyclic number.

It is not a de Polignac number, because 458401 - 2¹ = 458399 is a prime.

Together with 458399, it forms a pair of twin primes.

458401 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 458401.

It is not a weakly prime, because it can be changed into another prime (458407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 229200 + 229201.

It is an arithmetic number, because the mean of its divisors is an integer number (229201).

2⁴⁵⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

458401 is a deficient number, since it is larger than the sum of its proper divisors (1).

458401 is an equidigital number, since it uses as much as digits as its factorization.

458401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 458401 is about 677.0531736873. The cubic root of 458401 is about 77.1048776075.

The spelling of 458401 in words is "four hundred fifty-eight thousand, four hundred one".