456981 has 16 divisors (see below), whose sum is σ = 712704. Its totient is φ = 255024.

The previous prime is 456979. The next prime is 456991. The reversal of 456981 is 189654.

It is not a de Polignac number, because 456981 - 2¹ = 456979 is a prime.

It is a super-2 number, since 2×456981² = 417663268722, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

456981 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456981.

It is not an unprimeable number, because it can be changed into a prime (456901) 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 15 ways as a sum of consecutive naturals, for example, 756 + ... + 1218.

It is an arithmetic number, because the mean of its divisors is an integer number (44544).

2⁴⁵⁶⁹⁸¹ is an apocalyptic number.

It is an amenable number.

456981 is a deficient number, since it is larger than the sum of its proper divisors (255723).

456981 is a wasteful number, since it uses less digits than its factorization.

456981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520.

The product of its digits is 8640, while the sum is 33.

The square root of 456981 is about 676.0036982147. The cubic root of 456981 is about 77.0251787000.

The spelling of 456981 in words is "four hundred fifty-six thousand, nine hundred eighty-one".