241288320 has 256 divisors, whose sum is σ = 947278080. Its totient is φ = 50872320.

The previous prime is 241288309. The next prime is 241288337. The reversal of 241288320 is 23882142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174030 + ... + 175410.

It is an arithmetic number, because the mean of its divisors is an integer number (3700305).

Almost surely, 2^241288320 is an apocalyptic number.

241288320 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 241288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473639040).

241288320 is an abundant number, since it is smaller than the sum of its proper divisors (705989760).

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

241288320 is a wasteful number, since it uses less digits than its factorization.

241288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 241288320 is about 15533.4580824747. The cubic root of 241288320 is about 622.5564923490.

The spelling of 241288320 in words is "two hundred forty-one million, two hundred eighty-eight thousand, three hundred twenty".