54345200 has 120 divisors (see below), whose sum is σ = 160802208. Its totient is φ = 17187840.

The previous prime is 54345191. The next prime is 54345223. The reversal of 54345200 is 254345.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35654 + ... + 37146.

Almost surely, 2^54345200 is an apocalyptic number.

54345200 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 54345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80401104).

54345200 is an abundant number, since it is smaller than the sum of its proper divisors (106457008).

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

54345200 is a wasteful number, since it uses less digits than its factorization.

54345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 54345200 is about 7371.9196957102. The cubic root of 54345200 is about 378.7800210022.

Adding to 54345200 its reverse (254345), we get a palindrome (54599545).

It can be divided in two parts, 54345 and 200, that added together give a palindrome (54545).

The spelling of 54345200 in words is "fifty-four million, three hundred forty-five thousand, two hundred".