241284960 has 384 divisors, whose sum is σ = 987033600. Its totient is φ = 53913600.

The previous prime is 241284949. The next prime is 241284983. The reversal of 241284960 is 69482142.

241284960 is digitally balanced in base 2, 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2388910 + ... + 2389010.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2^241284960 is an apocalyptic number.

241284960 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 241284960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493516800).

241284960 is an abundant number, since it is smaller than the sum of its proper divisors (745748640).

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

241284960 is a wasteful number, since it uses less digits than its factorization.

241284960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

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

The square root of 241284960 is about 15533.3499284604. The cubic root of 241284960 is about 622.5536025841.

The spelling of 241284960 in words is "two hundred forty-one million, two hundred eighty-four thousand, nine hundred sixty".