54925200 has 360 divisors, whose sum is σ = 221875680. Its totient is φ = 12441600.

The previous prime is 54925177. The next prime is 54925201. The reversal of 54925200 is 252945.

54925200 is a `hidden beast` number, since 54 + 92 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (54925201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 752364 + ... + 752436.

Almost surely, 2^54925200 is an apocalyptic number.

54925200 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 54925200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110937840).

54925200 is an abundant number, since it is smaller than the sum of its proper divisors (166950480).

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

54925200 is a wasteful number, since it uses less digits than its factorization.

54925200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 54925200 is about 7411.1537563324. The cubic root of 54925200 is about 380.1227673506.

The spelling of 54925200 in words is "fifty-four million, nine hundred twenty-five thousand, two hundred".