241243200 has 252 divisors, whose sum is σ = 935998128. Its totient is φ = 58444800.

The previous prime is 241243193. The next prime is 241243207. The reversal of 241243200 is 2342142.

It is an interprime number because it is at equal distance from previous prime (241243193) and next prime (241243207).

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

It is not an unprimeable number, because it can be changed into a prime (241243207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157639 + ... + 159161.

Almost surely, 2^241243200 is an apocalyptic number.

241243200 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 241243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467999064).

241243200 is an abundant number, since it is smaller than the sum of its proper divisors (694754928).

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

241243200 is a wasteful number, since it uses less digits than its factorization.

241243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 241243200 is about 15532.0056657213. The cubic root of 241243200 is about 622.5176846962.

Adding to 241243200 its reverse (2342142), we get a palindrome (243585342).

The spelling of 241243200 in words is "two hundred forty-one million, two hundred forty-three thousand, two hundred".