56448 has 72 divisors (see below), whose sum is σ = 188955. Its totient is φ = 16128.

The previous prime is 56443. The next prime is 56453. The reversal of 56448 is 84465.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (56443) and next prime (56453).

It can be written as a sum of positive squares in only one way, i.e., 28224 + 28224 = 168^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=168.

Its product of digits (3840) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (56443) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8061 + ... + 8067.

2⁵⁶⁴⁴⁸ 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 56448

56448 is an abundant number, since it is smaller than the sum of its proper divisors (132507).

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

56448 is a wasteful number, since it uses less digits than its factorization.

56448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 12 counting only the distinct ones).

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

The square root of 56448 is about 237.5878784787. The cubic root of 56448 is about 38.3603757933.

It can be divided in two parts, 564 and 48, that multiplied together give a palindrome (27072).

The spelling of 56448 in words is "fifty-six thousand, four hundred forty-eight".