54744144 has 160 divisors (see below), whose sum is σ = 177321984. Its totient is φ = 14169600.

The previous prime is 54744113. The next prime is 54744169. The reversal of 54744144 is 44144745.

54744144 = 901² + 902² + ... + 963².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362469 + ... + 362619.

Almost surely, 2^54744144 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 54744144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88660992).

54744144 is an abundant number, since it is smaller than the sum of its proper divisors (122577840).

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

54744144 is a wasteful number, since it uses less digits than its factorization.

54744144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its digits is 35840, while the sum is 33.

The square root of 54744144 is about 7398.9285710838. The cubic root of 54744144 is about 379.7046273464.

Adding to 54744144 its reverse (44144745), we get a palindrome (98888889).

The spelling of 54744144 in words is "fifty-four million, seven hundred forty-four thousand, one hundred forty-four".