241200 has 90 divisors (see below), whose sum is σ = 849524. Its totient is φ = 63360.

The previous prime is 241183. The next prime is 241207. The reversal of 241200 is 2142.

241200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (241207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3567 + ... + 3633.

2²⁴¹²⁰⁰ is an apocalyptic number.

241200 is a gapful number since it is divisible by the number (20) 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 241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424762).

241200 is an abundant number, since it is smaller than the sum of its proper divisors (608324).

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

241200 is a wasteful number, since it uses less digits than its factorization.

241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 241200 is about 491.1211663123. The cubic root of 241200 is about 62.2480523898.

Adding to 241200 its reverse (2142), we get a palindrome (243342).

It can be divided in two parts, 241 and 200, that added together give a square (441 = 21²).

The spelling of 241200 in words is "two hundred forty-one thousand, two hundred", and thus it is an iban number.