54545200 has 60 divisors (see below), whose sum is σ = 137961160. Its totient is φ = 20666880.

The previous prime is 54545177. The next prime is 54545203. The reversal of 54545200 is 254545.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (54545203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4012 + ... + 11188.

Almost surely, 2^54545200 is an apocalyptic number.

54545200 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 54545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68980580).

54545200 is an abundant number, since it is smaller than the sum of its proper divisors (83415960).

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

54545200 is a wasteful number, since it uses less digits than its factorization.

54545200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7214 (or 7203 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 54545200 is about 7385.4722259311. The cubic root of 54545200 is about 379.2441114333.

Adding to 54545200 its reverse (254545), we get a palindrome (54799745).

It can be divided in two parts, 54545 and 200, that added together give a palindrome (54745).

The spelling of 54545200 in words is "fifty-four million, five hundred forty-five thousand, two hundred".