54219200 has 168 divisors, whose sum is σ = 157228032. Its totient is φ = 18017280.

The previous prime is 54219199. The next prime is 54219203. The reversal of 54219200 is 291245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54219203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526349 + ... + 526451.

Almost surely, 2^54219200 is an apocalyptic number.

54219200 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 54219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78614016).

54219200 is an abundant number, since it is smaller than the sum of its proper divisors (103008832).

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

54219200 is a wasteful number, since it uses less digits than its factorization.

54219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 54219200 is about 7363.3687942409. The cubic root of 54219200 is about 378.4870591284.

The spelling of 54219200 in words is "fifty-four million, two hundred nineteen thousand, two hundred".