241738560 has 336 divisors, whose sum is σ = 993769920. Its totient is φ = 55157760.

The previous prime is 241738559. The next prime is 241738571. The reversal of 241738560 is 65837142.

241738560 is a `hidden beast` number, since 24 + 1 + 73 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 423075 + ... + 423645.

Almost surely, 2^241738560 is an apocalyptic number.

241738560 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 241738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496884960).

241738560 is an abundant number, since it is smaller than the sum of its proper divisors (752031360).

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

241738560 is a wasteful number, since it uses less digits than its factorization.

241738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 241738560 is about 15547.9439155150. The cubic root of 241738560 is about 622.9434784391.

The spelling of 241738560 in words is "two hundred forty-one million, seven hundred thirty-eight thousand, five hundred sixty".