54438120 has 192 divisors, whose sum is σ = 197121600. Its totient is φ = 12917760.

The previous prime is 54438101. The next prime is 54438127. The reversal of 54438120 is 2183445.

It is not an unprimeable number, because it can be changed into a prime (54438127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233524 + ... + 233756.

It is an arithmetic number, because the mean of its divisors is an integer number (1026675).

Almost surely, 2^54438120 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 54438120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98560800).

54438120 is an abundant number, since it is smaller than the sum of its proper divisors (142683480).

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

54438120 is a wasteful number, since it uses less digits than its factorization.

54438120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54438120 is about 7378.2192973644. The cubic root of 54438120 is about 378.9957787812.

The spelling of 54438120 in words is "fifty-four million, four hundred thirty-eight thousand, one hundred twenty".