54456 has 16 divisors (see below), whose sum is σ = 136200. Its totient is φ = 18144.

The previous prime is 54449. The next prime is 54469. The reversal of 54456 is 65445.

54456 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2269 = 54456 / (5 + 4 + 4 + 5 + 6).

It is an Ulam number.

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 54456.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1111 + ... + 1158.

2⁵⁴⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

54456 is an abundant number, since it is smaller than the sum of its proper divisors (81744).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68100).

54456 is a wasteful number, since it uses less digits than its factorization.

54456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2274 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 54456 is about 233.3580939243. The cubic root of 54456 is about 37.9037267495.

The spelling of 54456 in words is "fifty-four thousand, four hundred fifty-six".