456761 has 4 divisors (see below), whose sum is σ = 463092. Its totient is φ = 450432.

The previous prime is 456737. The next prime is 456763. The reversal of 456761 is 167654.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 384400 + 72361 = 620^2 + 269^2 .

It is a cyclic number.

It is not a de Polignac number, because 456761 - 2⁶ = 456697 is a prime.

It is a super-2 number, since 2×456761² = 417261222242, which contains 22 as substring.

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 (456763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3056 + ... + 3201.

It is an arithmetic number, because the mean of its divisors is an integer number (115773).

2⁴⁵⁶⁷⁶¹ is an apocalyptic number.

It is an amenable number.

456761 is a deficient number, since it is larger than the sum of its proper divisors (6331).

456761 is an equidigital number, since it uses as much as digits as its factorization.

456761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330.

The product of its digits is 5040, while the sum is 29.

The square root of 456761 is about 675.8409576224. The cubic root of 456761 is about 77.0128162172.

It can be divided in two parts, 4 and 56761, that added together give a palindrome (56765).

The spelling of 456761 in words is "four hundred fifty-six thousand, seven hundred sixty-one".