456201 has 12 divisors (see below), whose sum is σ = 665028. Its totient is φ = 301344.

The previous prime is 456193. The next prime is 456223. The reversal of 456201 is 102654.

It is a happy number.

456201 is a `hidden beast` number, since 45 + 620 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 423801 + 32400 = 651^2 + 180^2 .

It is not a de Polignac number, because 456201 - 2³ = 456193 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1411 + ... + 1703.

It is an arithmetic number, because the mean of its divisors is an integer number (55419).

2⁴⁵⁶²⁰¹ is an apocalyptic number.

It is an amenable number.

456201 is a deficient number, since it is larger than the sum of its proper divisors (208827).

456201 is a wasteful number, since it uses less digits than its factorization.

456201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 456201 is about 675.4265319041. The cubic root of 456201 is about 76.9813301562.

Adding to 456201 its reverse (102654), we get a palindrome (558855).

The spelling of 456201 in words is "four hundred fifty-six thousand, two hundred one".