241200000 has 288 divisors, whose sum is σ = 880490520. Its totient is φ = 63360000.

The previous prime is 241199983. The next prime is 241200023. The reversal of 241200000 is 2142.

241200000 is digitally balanced in base 3, 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 (288).

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

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 35 ways as a sum of consecutive naturals, for example, 3599967 + ... + 3600033.

Almost surely, 2^241200000 is an apocalyptic number.

241200000 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 241200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440245260).

241200000 is an abundant number, since it is smaller than the sum of its proper divisors (639290520).

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

241200000 is an frugal number, since it uses more digits than its factorization.

241200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

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

The square root of 241200000 is about 15530.6149266537. The cubic root of 241200000 is about 622.4805238983.

Adding to 241200000 its reverse (2142), we get a palindrome (241202142).

The spelling of 241200000 in words is "two hundred forty-one million, two hundred thousand".