241800 has 96 divisors (see below), whose sum is σ = 833280. Its totient is φ = 57600.

The previous prime is 241793. The next prime is 241807. The reversal of 241800 is 8142.

It is an interprime number because it is at equal distance from previous prime (241793) and next prime (241807).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 241800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7785 + ... + 7815.

It is an arithmetic number, because the mean of its divisors is an integer number (8680).

2²⁴¹⁸⁰⁰ is an apocalyptic number.

241800 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 241800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640).

241800 is an abundant number, since it is smaller than the sum of its proper divisors (591480).

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

241800 is a wasteful number, since it uses less digits than its factorization.

241800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 241800 is about 491.7316341258. The cubic root of 241800 is about 62.2996249506.

Adding to 241800 its reverse (8142), we get a palindrome (249942).

The spelling of 241800 in words is "two hundred forty-one thousand, eight hundred".