54493920 has 288 divisors, whose sum is σ = 208039104. Its totient is φ = 12902400.

The previous prime is 54493913. The next prime is 54493927. The reversal of 54493920 is 2939445.

54493920 is a `hidden beast` number, since 544 + 93 + 9 + 20 = 666.

54493920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54493913) and next prime (54493927).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (54493927) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 767485 + ... + 767555.

It is an arithmetic number, because the mean of its divisors is an integer number (722358).

Almost surely, 2^54493920 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 54493920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104019552).

54493920 is an abundant number, since it is smaller than the sum of its proper divisors (153545184).

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

54493920 is a wasteful number, since it uses less digits than its factorization.

54493920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 54493920 is about 7381.9997290707. Note that the first 3 decimals coincide. The cubic root of 54493920 is about 379.1252269381.

The spelling of 54493920 in words is "fifty-four million, four hundred ninety-three thousand, nine hundred twenty".