241424400 has 240 divisors, whose sum is σ = 906691968. Its totient is φ = 53760000.

The previous prime is 241424377. The next prime is 241424411. The reversal of 241424400 is 4424142.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344050 + ... + 344750.

Almost surely, 2^241424400 is an apocalyptic number.

241424400 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 241424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453345984).

241424400 is an abundant number, since it is smaller than the sum of its proper divisors (665267568).

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

241424400 is a wasteful number, since it uses less digits than its factorization.

241424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 759 counting only the distinct ones).

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

The square root of 241424400 is about 15537.8376874004. The cubic root of 241424400 is about 622.6735052879.

Adding to 241424400 its reverse (4424142), we get a palindrome (245848542).

The spelling of 241424400 in words is "two hundred forty-one million, four hundred twenty-four thousand, four hundred".