241561200 has 120 divisors (see below), whose sum is σ = 790449408. Its totient is φ = 63031040.

The previous prime is 241561183. The next prime is 241561237. The reversal of 241561200 is 2165142.

It is a tau number, because it is divible by the number of its divisors (120).

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, 54259 + ... + 58541.

Almost surely, 2^241561200 is an apocalyptic number.

241561200 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 241561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395224704).

241561200 is an abundant number, since it is smaller than the sum of its proper divisors (548888208).

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

241561200 is a wasteful number, since it uses less digits than its factorization.

241561200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4351 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 241561200 is about 15542.2392209102. The cubic root of 241561200 is about 622.7910930318.

The spelling of 241561200 in words is "two hundred forty-one million, five hundred sixty-one thousand, two hundred".