241124364 has 240 divisors, whose sum is σ = 751322880. Its totient is φ = 66718080.

The previous prime is 241124363. The next prime is 241124369. The reversal of 241124364 is 463421142.

It is a happy number.

241124364 is a `hidden beast` number, since 2 + 411 + 243 + 6 + 4 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (241124363) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1840579 + ... + 1840709.

It is an arithmetic number, because the mean of its divisors is an integer number (3130512).

Almost surely, 2^241124364 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 241124364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375661440).

241124364 is an abundant number, since it is smaller than the sum of its proper divisors (510198516).

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

241124364 is a wasteful number, since it uses less digits than its factorization.

241124364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

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

The square root of 241124364 is about 15528.1796743855. The cubic root of 241124364 is about 622.4154508481.

The spelling of 241124364 in words is "two hundred forty-one million, one hundred twenty-four thousand, three hundred sixty-four".