54189440 has 64 divisors (see below), whose sum is σ = 130466160. Its totient is φ = 21522432.

The previous prime is 54189439. The next prime is 54189461. The reversal of 54189440 is 4498145.

It is a happy number.

54189440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 54189440.

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 7 ways as a sum of consecutive naturals, for example, 145094 + ... + 145466.

Almost surely, 2^54189440 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 54189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65233080).

54189440 is an abundant number, since it is smaller than the sum of its proper divisors (76276720).

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

54189440 is a wasteful number, since it uses less digits than its factorization.

54189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 54189440 is about 7361.3477026968. The cubic root of 54189440 is about 378.4177980773.

The spelling of 54189440 in words is "fifty-four million, one hundred eighty-nine thousand, four hundred forty".