456681 has 8 divisors (see below), whose sum is σ = 612864. Its totient is φ = 302480.

The previous prime is 456679. The next prime is 456683. The reversal of 456681 is 186654.

456681 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (456679) and next prime (456683).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456681 - 2¹ = 456679 is a prime.

It is a super-2 number, since 2×456681² = 417115071522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (76608).

2⁴⁵⁶⁶⁸¹ is an apocalyptic number.

It is an amenable number.

456681 is a deficient number, since it is larger than the sum of its proper divisors (156183).

456681 is a wasteful number, since it uses less digits than its factorization.

456681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991.

The product of its digits is 5760, while the sum is 30.

The square root of 456681 is about 675.7817695085. The cubic root of 456681 is about 77.0083197847.

The spelling of 456681 in words is "four hundred fifty-six thousand, six hundred eighty-one".