241456800 has 288 divisors, whose sum is σ = 866194560. Its totient is φ = 58060800.

The previous prime is 241456781. The next prime is 241456801. The reversal of 241456800 is 8654142.

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

It is not an unprimeable number, because it can be changed into a prime (241456801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2215146 + ... + 2215254.

It is an arithmetic number, because the mean of its divisors is an integer number (3007620).

Almost surely, 2^241456800 is an apocalyptic number.

241456800 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 241456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433097280).

241456800 is an abundant number, since it is smaller than the sum of its proper divisors (624737760).

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

241456800 is a wasteful number, since it uses less digits than its factorization.

241456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 241456800 is about 15538.8802685393. The cubic root of 241456800 is about 622.7013590303.

The spelling of 241456800 in words is "two hundred forty-one million, four hundred fifty-six thousand, eight hundred".