456881 has 2 divisors, whose sum is σ = 456882. Its totient is φ = 456880.

The previous prime is 456877. The next prime is 456899. The reversal of 456881 is 188654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312481 + 144400 = 559^2 + 380^2 .

It is a cyclic number.

It is not a de Polignac number, because 456881 - 2² = 456877 is a prime.

It is a super-2 number, since 2×456881² = 417480496322, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (456811) 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 as a sum of consecutive naturals, namely, 228440 + 228441.

It is an arithmetic number, because the mean of its divisors is an integer number (228441).

2⁴⁵⁶⁸⁸¹ is an apocalyptic number.

It is an amenable number.

456881 is a deficient number, since it is larger than the sum of its proper divisors (1).

456881 is an equidigital number, since it uses as much as digits as its factorization.

456881 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7680, while the sum is 32.

The square root of 456881 is about 675.9297300755. The cubic root of 456881 is about 77.0195598816.

The spelling of 456881 in words is "four hundred fifty-six thousand, eight hundred eighty-one".