54745200 has 240 divisors, whose sum is σ = 201579360. Its totient is φ = 14100480.

The previous prime is 54745157. The next prime is 54745211. The reversal of 54745200 is 254745.

It is a Cunningham number, because it is equal to 7399²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399532 + ... + 399668.

It is an arithmetic number, because the mean of its divisors is an integer number (839914).

Almost surely, 2^54745200 is an apocalyptic number.

54745200 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 54745200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100789680).

54745200 is an abundant number, since it is smaller than the sum of its proper divisors (146834160).

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

54745200 is a wasteful number, since it uses less digits than its factorization.

54745200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 54745200 is about 7398.9999324233. Note that the first 4 decimals coincide. The cubic root of 54745200 is about 379.7070687979.

Adding to 54745200 its reverse (254745), we get a palindrome (54999945).

It can be divided in two parts, 54745 and 200, that added together give a palindrome (54945).

The spelling of 54745200 in words is "fifty-four million, seven hundred forty-five thousand, two hundred".