241896800 has 72 divisors (see below), whose sum is σ = 599477256. Its totient is φ = 95293440.

The previous prime is 241896799. The next prime is 241896803. The reversal of 241896800 is 8698142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241896803) 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 11 ways as a sum of consecutive naturals, for example, 51344 + ... + 55856.

It is an arithmetic number, because the mean of its divisors is an integer number (8326073).

Almost surely, 2^241896800 is an apocalyptic number.

241896800 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 241896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299738628).

241896800 is an abundant number, since it is smaller than the sum of its proper divisors (357580456).

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

241896800 is a wasteful number, since it uses less digits than its factorization.

241896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 241896800 is about 15553.0318587727. The cubic root of 241896800 is about 623.0793732879.

The spelling of 241896800 in words is "two hundred forty-one million, eight hundred ninety-six thousand, eight hundred".