54716200 has 288 divisors, whose sum is σ = 178113600. Its totient is φ = 15206400.

The previous prime is 54716197. The next prime is 54716203. The reversal of 54716200 is 261745.

It is an interprime number because it is at equal distance from previous prime (54716197) and next prime (54716203).

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 (54716203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2879791 + ... + 2879809.

It is an arithmetic number, because the mean of its divisors is an integer number (618450).

Almost surely, 2^54716200 is an apocalyptic number.

54716200 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 54716200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89056800).

54716200 is an abundant number, since it is smaller than the sum of its proper divisors (123397400).

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

54716200 is a wasteful number, since it uses less digits than its factorization.

54716200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 54716200 is about 7397.0399485199. The cubic root of 54716200 is about 379.6400099511.

Adding to 54716200 its reverse (261745), we get a palindrome (54977945).

The spelling of 54716200 in words is "fifty-four million, seven hundred sixteen thousand, two hundred".