53456 has 20 divisors (see below), whose sum is σ = 111972. Its totient is φ = 24576.

The previous prime is 53453. The next prime is 53479. The reversal of 53456 is 65435.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 19600 = 184^2 + 140^2 .

53456 is an undulating number in base 16.

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 53456.

It is not an unprimeable number, because it can be changed into a prime (53453) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80 + ... + 336.

2⁵³⁴⁵⁶ 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 53456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55986).

53456 is an abundant number, since it is smaller than the sum of its proper divisors (58516).

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

53456 is a wasteful number, since it uses less digits than its factorization.

With its successor (53457) it forms an eRAP, since the sums of their prime factors are consecutive (278 and 279).

53456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 1800, while the sum is 23.

The square root of 53456 is about 231.2055362659. The cubic root of 53456 is about 37.6702774969.

The spelling of 53456 in words is "fifty-three thousand, four hundred fifty-six".