241788960 has 432 divisors, whose sum is σ = 1013777856. Its totient is φ = 51388416.

The previous prime is 241788959. The next prime is 241788973. The reversal of 241788960 is 69887142.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2913079 + ... + 2913161.

It is an arithmetic number, because the mean of its divisors is an integer number (2346708).

Almost surely, 2^241788960 is an apocalyptic number.

241788960 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 241788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506888928).

241788960 is an abundant number, since it is smaller than the sum of its proper divisors (771988896).

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

241788960 is a wasteful number, since it uses less digits than its factorization.

241788960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 241788960 is about 15549.5646241302. The cubic root of 241788960 is about 622.9867678639.

The spelling of 241788960 in words is "two hundred forty-one million, seven hundred eighty-eight thousand, nine hundred sixty".