241417120 has 192 divisors, whose sum is σ = 685843200. Its totient is φ = 80231424.

The previous prime is 241417117. The next prime is 241417157. The reversal of 241417120 is 21714142.

It is a junction number, because it is equal to n+sod(n) for n = 241417091 and 241417100.

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, 2908599 + ... + 2908681.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2^241417120 is an apocalyptic number.

241417120 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 241417120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342921600).

241417120 is an abundant number, since it is smaller than the sum of its proper divisors (444426080).

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

241417120 is an equidigital number, since it uses as much as digits as its factorization.

241417120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 241417120 is about 15537.6034188030. The cubic root of 241417120 is about 622.6672464498.

The spelling of 241417120 in words is "two hundred forty-one million, four hundred seventeen thousand, one hundred twenty".