241413984 has 108 divisors (see below), whose sum is σ = 798652764. Its totient is φ = 68971392.

The previous prime is 241413983. The next prime is 241414007. The reversal of 241413984 is 489314142.

It is a happy number.

241413984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241413983) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5559 + ... + 22665.

It is an arithmetic number, because the mean of its divisors is an integer number (7394933).

Almost surely, 2^241413984 is an apocalyptic number.

241413984 is a gapful number since it is divisible by the number (24) 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 241413984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399326382).

241413984 is an abundant number, since it is smaller than the sum of its proper divisors (557238780).

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

241413984 is a wasteful number, since it uses less digits than its factorization.

241413984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17137 (or 17119 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 241413984 is about 15537.5025020111. The cubic root of 241413984 is about 622.6645502962.

The spelling of 241413984 in words is "two hundred forty-one million, four hundred thirteen thousand, nine hundred eighty-four".