241861200 has 120 divisors (see below), whose sum is σ = 885473088. Its totient is φ = 55280640.

The previous prime is 241861187. The next prime is 241861211. The reversal of 241861200 is 2168142.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5997 + ... + 22796.

Almost surely, 2^241861200 is an apocalyptic number.

241861200 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 241861200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442736544).

241861200 is an abundant number, since it is smaller than the sum of its proper divisors (643611888).

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

241861200 is a wasteful number, since it uses less digits than its factorization.

241861200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28821 (or 28810 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 241861200 is about 15551.8873452710. The cubic root of 241861200 is about 623.0488055500.

The spelling of 241861200 in words is "two hundred forty-one million, eight hundred sixty-one thousand, two hundred".