54448560 has 120 divisors (see below), whose sum is σ = 186863040. Its totient is φ = 14201856.

The previous prime is 54448531. The next prime is 54448577. The reversal of 54448560 is 6584445.

54448560 is a `hidden beast` number, since 54 + 4 + 48 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33036 + ... + 34644.

It is an arithmetic number, because the mean of its divisors is an integer number (1557192).

Almost surely, 2^54448560 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 54448560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93431520).

54448560 is an abundant number, since it is smaller than the sum of its proper divisors (132414480).

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

54448560 is a wasteful number, since it uses less digits than its factorization.

54448560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 54448560 is about 7378.9267512288. The cubic root of 54448560 is about 379.0200048384.

The spelling of 54448560 in words is "fifty-four million, four hundred forty-eight thousand, five hundred sixty".