456884 has 6 divisors (see below), whose sum is σ = 799554. Its totient is φ = 228440.

The previous prime is 456881. The next prime is 456899. The reversal of 456884 is 488654.

It can be written as a sum of positive squares in only one way, i.e., 394384 + 62500 = 628^2 + 250^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456881) 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, 57107 + ... + 57114.

It is an arithmetic number, because the mean of its divisors is an integer number (133259).

2⁴⁵⁶⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

456884 is a deficient number, since it is larger than the sum of its proper divisors (342670).

456884 is a wasteful number, since it uses less digits than its factorization.

456884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114225 (or 114223 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 456884 is about 675.9319492375. The cubic root of 456884 is about 77.0197284581.

The spelling of 456884 in words is "four hundred fifty-six thousand, eight hundred eighty-four".