241933824 has 320 divisors, whose sum is σ = 821018880. Its totient is φ = 69672960.

The previous prime is 241933819. The next prime is 241933841. The reversal of 241933824 is 428339142.

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.

Its product of digits (41472) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5626347 + ... + 5626389.

It is an arithmetic number, because the mean of its divisors is an integer number (2565684).

Almost surely, 2^241933824 is an apocalyptic number.

241933824 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 241933824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410509440).

241933824 is an abundant number, since it is smaller than the sum of its proper divisors (579085056).

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

241933824 is a wasteful number, since it uses less digits than its factorization.

241933824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 241933824 is about 15554.2220634785. Note that the first 3 decimals coincide. The cubic root of 241933824 is about 623.1111605540. Note that the first 4 decimals are identical.

The spelling of 241933824 in words is "two hundred forty-one million, nine hundred thirty-three thousand, eight hundred twenty-four".