241442400 has 144 divisors (see below), whose sum is σ = 813229200. Its totient is φ = 62146560.

The previous prime is 241442389. The next prime is 241442413. The reversal of 241442400 is 4244142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67866 + ... + 71334.

It is an arithmetic number, because the mean of its divisors is an integer number (5647425).

Almost surely, 2^241442400 is an apocalyptic number.

241442400 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 241442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406614600).

241442400 is an abundant number, since it is smaller than the sum of its proper divisors (571786800).

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

241442400 is a wasteful number, since it uses less digits than its factorization.

241442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 241442400 is about 15538.4169077805. The cubic root of 241442400 is about 622.6889798969.

Adding to 241442400 its reverse (4244142), we get a palindrome (245686542).

The spelling of 241442400 in words is "two hundred forty-one million, four hundred forty-two thousand, four hundred".