54984200 has 48 divisors (see below), whose sum is σ = 129316500. Its totient is φ = 21739520.

The previous prime is 54984199. The next prime is 54984211. The reversal of 54984200 is 248945.

54984200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 24226084 + 30758116 = 4922^2 + 5546^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16256 + ... + 19344.

Almost surely, 2^54984200 is an apocalyptic number.

54984200 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 54984200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64658250).

54984200 is an abundant number, since it is smaller than the sum of its proper divisors (74332300).

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

54984200 is a wasteful number, since it uses less digits than its factorization.

54984200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 54984200 is about 7415.1331747987. The cubic root of 54984200 is about 380.2588264376.

The spelling of 54984200 in words is "fifty-four million, nine hundred eighty-four thousand, two hundred".