241563840 has 224 divisors, whose sum is σ = 887577600. Its totient is φ = 54521856.

The previous prime is 241563799. The next prime is 241563859. The reversal of 241563840 is 48365142.

241563840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691986 + ... + 692334.

It is an arithmetic number, because the mean of its divisors is an integer number (3962400).

Almost surely, 2^241563840 is an apocalyptic number.

241563840 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 241563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443788800).

241563840 is an abundant number, since it is smaller than the sum of its proper divisors (646013760).

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

241563840 is a wasteful number, since it uses less digits than its factorization.

241563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 241563840 is about 15542.3241505252. The cubic root of 241563840 is about 622.7933618323.

The spelling of 241563840 in words is "two hundred forty-one million, five hundred sixty-three thousand, eight hundred forty".