241249200 has 120 divisors (see below), whose sum is σ = 779378688. Its totient is φ = 63786240.

The previous prime is 241249189. The next prime is 241249243. The reversal of 241249200 is 2942142.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 151609 + ... + 153191.

Almost surely, 2^241249200 is an apocalyptic number.

241249200 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 241249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389689344).

241249200 is an abundant number, since it is smaller than the sum of its proper divisors (538129488).

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

241249200 is a wasteful number, since it uses less digits than its factorization.

241249200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 241249200 is about 15532.1988140765. The cubic root of 241249200 is about 622.5228455673.

The spelling of 241249200 in words is "two hundred forty-one million, two hundred forty-nine thousand, two hundred".