241561600 has 156 divisors (see below), whose sum is σ = 686602384. Its totient is φ = 82575360.

The previous prime is 241561591. The next prime is 241561601. The reversal of 241561600 is 6165142.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241561601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 716632 + ... + 716968.

Almost surely, 2^241561600 is an apocalyptic number.

241561600 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 241561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343301192).

241561600 is an abundant number, since it is smaller than the sum of its proper divisors (445040784).

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

241561600 is an equidigital number, since it uses as much as digits as its factorization.

241561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 241561600 is about 15542.2520890635. The cubic root of 241561600 is about 622.7914367905.

The spelling of 241561600 in words is "two hundred forty-one million, five hundred sixty-one thousand, six hundred".