54046944 has 288 divisors, whose sum is σ = 198132480. Its totient is φ = 13602816.

The previous prime is 54046943. The next prime is 54046991. The reversal of 54046944 is 44964045.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 54046899 and 54046908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54046943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651127 + ... + 651209.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^54046944 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 54046944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

54046944 is an abundant number, since it is smaller than the sum of its proper divisors (144085536).

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

54046944 is a wasteful number, since it uses less digits than its factorization.

54046944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 54046944 is about 7351.6626690838. The cubic root of 54046944 is about 378.0858123813.

The spelling of 54046944 in words is "fifty-four million, forty-six thousand, nine hundred forty-four".