48456 has 24 divisors (see below), whose sum is σ = 131430. Its totient is φ = 16128.

The previous prime is 48449. The next prime is 48463. The reversal of 48456 is 65484.

48456 is nontrivially palindromic in base 7.

48456 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 an interprime number because it is at equal distance from previous prime (48449) and next prime (48463).

It can be written as a sum of positive squares in only one way, i.e., 44100 + 4356 = 210^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 48456.

It is an unprimeable number.

48456 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 5 ways as a sum of consecutive naturals, for example, 265 + ... + 408.

2⁴⁸⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

48456 is an abundant number, since it is smaller than the sum of its proper divisors (82974).

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

48456 is a wasteful number, since it uses less digits than its factorization.

48456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 678 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 48456 is about 220.1272359341. The cubic root of 48456 is about 36.4571336385.

It can be divided in two parts, 4845 and 6, that added together give a triangular number (4851 = T₉₈).

The spelling of 48456 in words is "forty-eight thousand, four hundred fifty-six".