54388224 has 240 divisors, whose sum is σ = 181930320. Its totient is φ = 15482880.

The previous prime is 54388211. The next prime is 54388231. The reversal of 54388224 is 42288345.

54388224 is a `hidden beast` number, since 54 + 388 + 224 = 666.

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

It is a congruent number.

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, 1469934 + ... + 1469970.

It is an arithmetic number, because the mean of its divisors is an integer number (758043).

Almost surely, 2^54388224 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 54388224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90965160).

54388224 is an abundant number, since it is smaller than the sum of its proper divisors (127542096).

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

54388224 is a wasteful number, since it uses less digits than its factorization.

54388224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 82 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 54388224 is about 7374.8372185425. The cubic root of 54388224 is about 378.8799521396.

The spelling of 54388224 in words is "fifty-four million, three hundred eighty-eight thousand, two hundred twenty-four".