241987200 has 384 divisors, whose sum is σ = 984520320. Its totient is φ = 50872320.

The previous prime is 241987199. The next prime is 241987201. The reversal of 241987200 is 2789142.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (241987199) and next prime (241987201).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241987201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873462 + ... + 873738.

It is an arithmetic number, because the mean of its divisors is an integer number (2563855).

Almost surely, 2^241987200 is an apocalyptic number.

241987200 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 241987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492260160).

241987200 is an abundant number, since it is smaller than the sum of its proper divisors (742533120).

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

241987200 is a wasteful number, since it uses less digits than its factorization.

241987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 241987200 is about 15555.9377730820. The cubic root of 241987200 is about 623.1569812598.

The spelling of 241987200 in words is "two hundred forty-one million, nine hundred eighty-seven thousand, two hundred".