241225824 has 144 divisors (see below), whose sum is σ = 775656000. Its totient is φ = 65270016.

The previous prime is 241225823. The next prime is 241225861. The reversal of 241225824 is 428522142.

It is a junction number, because it is equal to n+sod(n) for n = 241225791 and 241225800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241225823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88027 + ... + 90725.

It is an arithmetic number, because the mean of its divisors is an integer number (5386500).

Almost surely, 2^241225824 is an apocalyptic number.

241225824 is a gapful number since it is divisible by the number (24) 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 241225824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387828000).

241225824 is an abundant number, since it is smaller than the sum of its proper divisors (534430176).

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

241225824 is a wasteful number, since it uses less digits than its factorization.

241225824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2730 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 241225824 is about 15531.4462945342. The cubic root of 241225824 is about 622.5027383309.

Adding to 241225824 its reverse (428522142), we get a palindrome (669747966).

It can be divided in two parts, 24 and 1225824, that multiplied together give a square (29419776 = 5424²).

The spelling of 241225824 in words is "two hundred forty-one million, two hundred twenty-five thousand, eight hundred twenty-four".