456801 has 4 divisors (see below), whose sum is σ = 609072. Its totient is φ = 304532.

The previous prime is 456791. The next prime is 456809. The reversal of 456801 is 108654.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 456801 - 2⁵ = 456769 is a prime.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (456809) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76131 + ... + 76136.

It is an arithmetic number, because the mean of its divisors is an integer number (152268).

2⁴⁵⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

456801 is a deficient number, since it is larger than the sum of its proper divisors (152271).

456801 is a wasteful number, since it uses less digits than its factorization.

456801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152270.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 456801 is about 675.8705497357. The cubic root of 456801 is about 77.0150642365.

The spelling of 456801 in words is "four hundred fifty-six thousand, eight hundred one".