51456 has 36 divisors (see below), whose sum is σ = 138992. Its totient is φ = 16896.

The previous prime is 51449. The next prime is 51461. The reversal of 51456 is 65415.

It is a happy number.

It is a nialpdrome in base 16.

It is an unprimeable number.

51456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 735 + ... + 801.

2⁵¹⁴⁵⁶ 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 51456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69496).

51456 is an abundant number, since it is smaller than the sum of its proper divisors (87536).

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

51456 is an equidigital number, since it uses as much as digits as its factorization.

51456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 51456 is about 226.8391500601. The cubic root of 51456 is about 37.1944956592.

It can be divided in two parts, 5145 and 6, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 51456 in words is "fifty-one thousand, four hundred fifty-six".