54438000 has 160 divisors (see below), whose sum is σ = 180440832. Its totient is φ = 14112000.

The previous prime is 54437963. The next prime is 54438019. The reversal of 54438000 is 83445.

It is a happy number.

54438000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257895 + ... + 258105.

Almost surely, 2^54438000 is an apocalyptic number.

54438000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90220416).

54438000 is an abundant number, since it is smaller than the sum of its proper divisors (126002832).

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

54438000 is a wasteful number, since it uses less digits than its factorization.

54438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 54438000 is about 7378.2111653164. The cubic root of 54438000 is about 378.9955003028.

The spelling of 54438000 in words is "fifty-four million, four hundred thirty-eight thousand".