241131600 has 240 divisors, whose sum is σ = 871819200. Its totient is φ = 63290880.

The previous prime is 241131599. The next prime is 241131601. The reversal of 241131600 is 6131142.

It is a happy number.

241131600 is a `hidden beast` number, since 24 + 11 + 31 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (241131599) and next prime (241131601).

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241131601) 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 47 ways as a sum of consecutive naturals, for example, 896266 + ... + 896534.

It is an arithmetic number, because the mean of its divisors is an integer number (3632580).

Almost surely, 2^241131600 is an apocalyptic number.

241131600 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 241131600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435909600).

241131600 is an abundant number, since it is smaller than the sum of its proper divisors (630687600).

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

241131600 is a wasteful number, since it uses less digits than its factorization.

241131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 241131600 is about 15528.4126683960. The cubic root of 241131600 is about 622.4216768928.

Adding to 241131600 its reverse (6131142), we get a palindrome (247262742).

It can be divided in two parts, 241 and 131600, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 241131600 in words is "two hundred forty-one million, one hundred thirty-one thousand, six hundred".