456716 has 12 divisors (see below), whose sum is σ = 860832. Its totient is φ = 210768.

The previous prime is 456697. The next prime is 456727. The reversal of 456716 is 617654.

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4340 + ... + 4443.

It is an arithmetic number, because the mean of its divisors is an integer number (71736).

2⁴⁵⁶⁷¹⁶ is an apocalyptic number.

It is an amenable number.

456716 is a deficient number, since it is larger than the sum of its proper divisors (404116).

456716 is a wasteful number, since it uses less digits than its factorization.

456716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8800 (or 8798 counting only the distinct ones).

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

The square root of 456716 is about 675.8076649462. The cubic root of 456716 is about 77.0102870385.

The spelling of 456716 in words is "four hundred fifty-six thousand, seven hundred sixteen".