5456 has 20 divisors (see below), whose sum is σ = 11904. Its totient is φ = 2400.

The previous prime is 5449. The next prime is 5471. The reversal of 5456 is 6545.

5456 = T₁ + T₂ + ... + T₃₁.

5456 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

5456 is a nontrivial binomial coefficient, being equal to C(33, 3).

5456 is an admirable number.

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

Its product of digits (600) is a multiple of the sum of its prime factors (50).

It is a nialpdrome in base 4, base 9 and base 11.

It is a zygodrome in base 4.

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 5456.

It is an unprimeable number.

5456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 31-st tetrahedral number.

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 in 3 ways as a sum of consecutive naturals, for example, 161 + ... + 191.

2⁵⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952).

5456 is an abundant number, since it is smaller than the sum of its proper divisors (6448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5456 is a wasteful number, since it uses less digits than its factorization.

5456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 44 counting only the distinct ones).

The product of its digits is 600, while the sum is 20.

The square root of 5456 is about 73.8647412505. The cubic root of 5456 is about 17.6045442811.

Adding to 5456 its sum of digits (20), we get a square (5476 = 74²).

Subtracting 5456 from its reverse (6545), we obtain a square (1089 = 33²).

The spelling of 5456 in words is "five thousand, four hundred fifty-six".