241984800 has 288 divisors, whose sum is σ = 928065600. Its totient is φ = 60641280.

The previous prime is 241984781. The next prime is 241984819. The reversal of 241984800 is 8489142.

It is an interprime number because it is at equal distance from previous prime (241984781) and next prime (241984819).

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 (36).

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, 366871 + ... + 367529.

It is an arithmetic number, because the mean of its divisors is an integer number (3222450).

Almost surely, 2^241984800 is an apocalyptic number.

241984800 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 241984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464032800).

241984800 is an abundant number, since it is smaller than the sum of its proper divisors (686080800).

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

241984800 is a wasteful number, since it uses less digits than its factorization.

241984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 241984800 is about 15555.8606319290. The cubic root of 241984800 is about 623.1549211209.

The spelling of 241984800 in words is "two hundred forty-one million, nine hundred eighty-four thousand, eight hundred".