16456 has 24 divisors (see below), whose sum is σ = 35910. Its totient is φ = 7040.

The previous prime is 16453. The next prime is 16477. The reversal of 16456 is 65461.

16456 is nontrivially palindromic in base 7.

16456 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 12100 + 4356 = 110^2 + 66^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

16456 is an undulating number in base 7.

Its product of digits (720) is a multiple of the sum of its prime divisors (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 960 + ... + 976.

2¹⁶⁴⁵⁶ 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 16456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17955).

16456 is an abundant number, since it is smaller than the sum of its proper divisors (19454).

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

16456 is a wasteful number, since it uses less digits than its factorization.

16456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 30 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 16456 is about 128.2809416866. The cubic root of 16456 is about 25.4355671772.

It can be divided in two parts, 1645 and 6, that multiplied together give a triangular number (9870 = T₁₄₀).

The spelling of 16456 in words is "sixteen thousand, four hundred fifty-six".