241375200 has 288 divisors, whose sum is σ = 881943552. Its totient is φ = 56832000.

The previous prime is 241375181. The next prime is 241375213. The reversal of 241375200 is 2573142.

241375200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082289 + ... + 1082511.

It is an arithmetic number, because the mean of its divisors is an integer number (3062304).

Almost surely, 2^241375200 is an apocalyptic number.

241375200 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 241375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440971776).

241375200 is an abundant number, since it is smaller than the sum of its proper divisors (640568352).

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

241375200 is a wasteful number, since it uses less digits than its factorization.

241375200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 241375200 is about 15536.2543748485. The cubic root of 241375200 is about 622.6312040985.

The spelling of 241375200 in words is "two hundred forty-one million, three hundred seventy-five thousand, two hundred".