456956 has 12 divisors (see below), whose sum is σ = 811440. Its totient is φ = 225120.

The previous prime is 456949. The next prime is 456959. The reversal of 456956 is 659654.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 521 + ... + 1088.

It is an arithmetic number, because the mean of its divisors is an integer number (67620).

2⁴⁵⁶⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

456956 is a deficient number, since it is larger than the sum of its proper divisors (354484).

456956 is a wasteful number, since it uses less digits than its factorization.

456956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1682 counting only the distinct ones).

The product of its digits is 32400, while the sum is 35.

The square root of 456956 is about 675.9852069387. The cubic root of 456956 is about 77.0237740723.

It can be divided in two parts, 45695 and 6, that multiplied together give a triangular number (274170 = T₇₄₀).

The spelling of 456956 in words is "four hundred fifty-six thousand, nine hundred fifty-six".