241864480 has 216 divisors, whose sum is σ = 698909148. Its totient is φ = 78566400.

The previous prime is 241864477. The next prime is 241864487. The reversal of 241864480 is 84468142.

It can be written as a sum of positive squares in 2 ways, for example, as 225120016 + 16744464 = 15004^2 + 4092^2 .

It is not an unprimeable number, because it can be changed into a prime (241864487) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 7802065 + ... + 7802095.

Almost surely, 2^241864480 is an apocalyptic number.

241864480 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 241864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349454574).

241864480 is an abundant number, since it is smaller than the sum of its proper divisors (457044668).

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

241864480 is a wasteful number, since it uses less digits than its factorization.

241864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 241864480 is about 15551.9927983522. The cubic root of 241864480 is about 623.0516220288.

The spelling of 241864480 in words is "two hundred forty-one million, eight hundred sixty-four thousand, four hundred eighty".