54241200 has 360 divisors, whose sum is σ = 216878480. Its totient is φ = 12441600.

The previous prime is 54241183. The next prime is 54241241. The reversal of 54241200 is 214245.

54241200 is a `hidden beast` number, since 542 + 4 + 120 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 889170 + ... + 889230.

Almost surely, 2^54241200 is an apocalyptic number.

54241200 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 54241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108439240).

54241200 is an abundant number, since it is smaller than the sum of its proper divisors (162637280).

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

54241200 is a wasteful number, since it uses less digits than its factorization.

54241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 54241200 is about 7364.8625241752. The cubic root of 54241200 is about 378.5382438830.

Adding to 54241200 its reverse (214245), we get a palindrome (54455445).

The spelling of 54241200 in words is "fifty-four million, two hundred forty-one thousand, two hundred".