54871200 has 108 divisors (see below), whose sum is σ = 193514958. Its totient is φ = 14630400.

The previous prime is 54871177. The next prime is 54871213. The reversal of 54871200 is 217845.

It can be written as a sum of positive squares in 3 ways, for example, as 49617936 + 5253264 = 7044^2 + 2292^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3390 + ... + 11010.

Almost surely, 2^54871200 is an apocalyptic number.

54871200 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 54871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96757479).

54871200 is an abundant number, since it is smaller than the sum of its proper divisors (138643758).

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

54871200 is a wasteful number, since it uses less digits than its factorization.

54871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7647 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 54871200 is about 7407.5097029974. The cubic root of 54871200 is about 379.9981532690.

The spelling of 54871200 in words is "fifty-four million, eight hundred seventy-one thousand, two hundred".