54448000 has 128 divisors (see below), whose sum is σ = 140343840. Its totient is φ = 20992000.

The previous prime is 54447937. The next prime is 54448001. The reversal of 54448000 is 84445.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54448001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655959 + ... + 656041.

Almost surely, 2^54448000 is an apocalyptic number.

54448000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70171920).

54448000 is an abundant number, since it is smaller than the sum of its proper divisors (85895840).

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

54448000 is an equidigital number, since it uses as much as digits as its factorization.

54448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 54448000 is about 7378.8888052335. Note that the first 4 decimals coincide. The cubic root of 54448000 is about 379.0187054350.

The spelling of 54448000 in words is "fifty-four million, four hundred forty-eight thousand".