241328430 has 384 divisors, whose sum is σ = 842140800. Its totient is φ = 48771072.

The previous prime is 241328407. The next prime is 241328441. The reversal of 241328430 is 34823142.

It is a super-2 number, since 2×241328430² = 116478822252529800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 241328394 and 241328403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6522372 + ... + 6522408.

It is an arithmetic number, because the mean of its divisors is an integer number (2193075).

Almost surely, 2^241328430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241328430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421070400).

241328430 is an abundant number, since it is smaller than the sum of its proper divisors (600812370).

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

241328430 is a wasteful number, since it uses less digits than its factorization.

241328430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 241328430 is about 15534.7491128759. The cubic root of 241328430 is about 622.5909868455.

The spelling of 241328430 in words is "two hundred forty-one million, three hundred twenty-eight thousand, four hundred thirty".