241280 has 64 divisors (see below), whose sum is σ = 642600. Its totient is φ = 86016.

The previous prime is 241271. The next prime is 241291. The reversal of 241280 is 82142.

It can be written as a sum of positive squares in 4 ways, for example, as 153664 + 87616 = 392^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

241280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8306 + ... + 8334.

2²⁴¹²⁸⁰ is an apocalyptic number.

241280 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 241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321300).

241280 is an abundant number, since it is smaller than the sum of its proper divisors (401320).

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

241280 is a wasteful number, since it uses less digits than its factorization.

241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 241280 is about 491.2026058563. The cubic root of 241280 is about 62.2549336692.

The spelling of 241280 in words is "two hundred forty-one thousand, two hundred eighty".