54199200 has 144 divisors (see below), whose sum is σ = 192550176. Its totient is φ = 13132800.

The previous prime is 54199169. The next prime is 54199219. The reversal of 54199200 is 299145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 25374 + ... + 27426.

It is an arithmetic number, because the mean of its divisors is an integer number (1337154).

Almost surely, 2^54199200 is an apocalyptic number.

54199200 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 54199200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96275088).

54199200 is an abundant number, since it is smaller than the sum of its proper divisors (138350976).

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

54199200 is a wasteful number, since it uses less digits than its factorization.

54199200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 54199200 is about 7362.0105949394. The cubic root of 54199200 is about 378.4405155169.

The spelling of 54199200 in words is "fifty-four million, one hundred ninety-nine thousand, two hundred".