241368480 has 144 divisors (see below), whose sum is σ = 850397184. Its totient is φ = 62277120.

The previous prime is 241368467. The next prime is 241368541. The reversal of 241368480 is 84863142.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 41937 + ... + 47343.

It is an arithmetic number, because the mean of its divisors is an integer number (5905536).

Almost surely, 2^241368480 is an apocalyptic number.

241368480 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 241368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425198592).

241368480 is an abundant number, since it is smaller than the sum of its proper divisors (609028704).

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

241368480 is a wasteful number, since it uses less digits than its factorization.

241368480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 241368480 is about 15536.0381049996. The cubic root of 241368480 is about 622.6254259290.

The spelling of 241368480 in words is "two hundred forty-one million, three hundred sixty-eight thousand, four hundred eighty".