456401 has 4 divisors (see below), whose sum is σ = 497904. Its totient is φ = 414900.

The previous prime is 456377. The next prime is 456403. The reversal of 456401 is 104654.

It is a happy number.

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 a de Polignac number, because none of the positive numbers 2^k-456401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456403) 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, 20735 + ... + 20756.

It is an arithmetic number, because the mean of its divisors is an integer number (124476).

2⁴⁵⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

456401 is a deficient number, since it is larger than the sum of its proper divisors (41503).

456401 is a wasteful number, since it uses less digits than its factorization.

456401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41502.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 456401 is about 675.5745702733. The cubic root of 456401 is about 76.9925781344.

It can be divided in two parts, 45 and 6401, that added together give a palindrome (6446).

The spelling of 456401 in words is "four hundred fifty-six thousand, four hundred one".