456361 has 4 divisors (see below), whose sum is σ = 480400. Its totient is φ = 432324.

The previous prime is 456353. The next prime is 456367. The reversal of 456361 is 163654.

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 456361 - 2³ = 456353 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456367) 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, 11991 + ... + 12028.

It is an arithmetic number, because the mean of its divisors is an integer number (120100).

2⁴⁵⁶³⁶¹ is an apocalyptic number.

It is an amenable number.

456361 is a deficient number, since it is larger than the sum of its proper divisors (24039).

456361 is a wasteful number, since it uses less digits than its factorization.

456361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24038.

The product of its digits is 2160, while the sum is 25.

The square root of 456361 is about 675.5449651948. The cubic root of 456361 is about 76.9903288017.

It can be divided in two parts, 4563 and 61, that added together give a square (4624 = 68²).

The spelling of 456361 in words is "four hundred fifty-six thousand, three hundred sixty-one".