241827984 has 160 divisors (see below), whose sum is σ = 729120000. Its totient is φ = 76640256.

The previous prime is 241827983. The next prime is 241827997. The reversal of 241827984 is 489728142.

It is not an unprimeable number, because it can be changed into a prime (241827983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1215117 + ... + 1215315.

It is an arithmetic number, because the mean of its divisors is an integer number (4557000).

Almost surely, 2^241827984 is an apocalyptic number.

241827984 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 241827984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364560000).

241827984 is an abundant number, since it is smaller than the sum of its proper divisors (487292016).

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

241827984 is a wasteful number, since it uses less digits than its factorization.

241827984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 241827984 is about 15550.8193996329. The cubic root of 241827984 is about 623.0202821151.

The spelling of 241827984 in words is "two hundred forty-one million, eight hundred twenty-seven thousand, nine hundred eighty-four".