241468128 has 168 divisors, whose sum is σ = 778382136. Its totient is φ = 73094400.

The previous prime is 241468111. The next prime is 241468151. The reversal of 241468128 is 821864142.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 241468092 and 241468101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 256138 + ... + 257078.

It is an arithmetic number, because the mean of its divisors is an integer number (4633227).

Almost surely, 2^241468128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241468128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389191068).

241468128 is an abundant number, since it is smaller than the sum of its proper divisors (536914008).

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

241468128 is an equidigital number, since it uses as much as digits as its factorization.

241468128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 957 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 241468128 is about 15539.2447692930. The cubic root of 241468128 is about 622.7110969360.

The spelling of 241468128 in words is "two hundred forty-one million, four hundred sixty-eight thousand, one hundred twenty-eight".