4456 has 8 divisors (see below), whose sum is σ = 8370. Its totient is φ = 2224.

The previous prime is 4451. The next prime is 4457. The reversal of 4456 is 6544.

4456 = T₅₃ + T₅₄ + T₅₅.

It can be written as a sum of positive squares in only one way, i.e., 4356 + 100 = 66^2 + 10^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 10 and base 16.

It is not an unprimeable number, because it can be changed into a prime (4451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 271 + ... + 286.

2⁴⁴⁵⁶ is an apocalyptic number.

4456 is the 55-th centered triangular number.

It is an amenable number.

4456 is a deficient number, since it is larger than the sum of its proper divisors (3914).

4456 is a wasteful number, since it uses less digits than its factorization.

4456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 559 counting only the distinct ones).

The product of its digits is 480, while the sum is 19.

The square root of 4456 is about 66.7532770731. The cubic root of 4456 is about 16.4556507227.

It can be divided in two parts, 44 and 56, that added together give a square (100 = 10²).

The spelling of 4456 in words is "four thousand, four hundred fifty-six".