241401600 has 432 divisors, whose sum is σ = 973271040. Its totient is φ = 58060800.

The previous prime is 241401551. The next prime is 241401607. The reversal of 241401600 is 6104142.

241401600 is a `hidden beast` number, since 24 + 1 + 40 + 1 + 600 = 666.

241401600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241401607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900737 + ... + 1900863.

Almost surely, 2^241401600 is an apocalyptic number.

241401600 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 241401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486635520).

241401600 is an abundant number, since it is smaller than the sum of its proper divisors (731869440).

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

241401600 is a wasteful number, since it uses less digits than its factorization.

241401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 241401600 is about 15537.1039772539. The cubic root of 241401600 is about 622.6539030123.

Adding to 241401600 its reverse (6104142), we get a palindrome (247505742).

The spelling of 241401600 in words is "two hundred forty-one million, four hundred one thousand, six hundred".