241924800 has 168 divisors, whose sum is σ = 854990416. Its totient is φ = 59535360.

The previous prime is 241924799. The next prime is 241924819. The reversal of 241924800 is 8429142.

241924800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60462 + ... + 64338.

Almost surely, 2^241924800 is an apocalyptic number.

241924800 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 241924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427495208).

241924800 is an abundant number, since it is smaller than the sum of its proper divisors (613065616).

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

241924800 is a wasteful number, since it uses less digits than its factorization.

241924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 241924800 is about 15553.9319787634. The cubic root of 241924800 is about 623.1034132219.

The spelling of 241924800 in words is "two hundred forty-one million, nine hundred twenty-four thousand, eight hundred".