54384416 has 48 divisors (see below), whose sum is σ = 112186368. Its totient is φ = 25920000.

The previous prime is 54384391. The next prime is 54384427. The reversal of 54384416 is 61448345.

It is a super-2 number, since 2×54384416² = 5915329407322112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72041 + ... + 72791.

It is an arithmetic number, because the mean of its divisors is an integer number (2337216).

Almost surely, 2^54384416 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 54384416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56093184).

54384416 is an abundant number, since it is smaller than the sum of its proper divisors (57801952).

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

54384416 is a wasteful number, since it uses less digits than its factorization.

54384416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 857 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 54384416 is about 7374.5790388333. The cubic root of 54384416 is about 378.8711094869.

The spelling of 54384416 in words is "fifty-four million, three hundred eighty-four thousand, four hundred sixteen".