242721600 has 168 divisors, whose sum is σ = 868911648. Its totient is φ = 58828800.

The previous prime is 242721587. The next prime is 242721643. The reversal of 242721600 is 6127242.

242721600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 50502 + ... + 55098.

Almost surely, 2^242721600 is an apocalyptic number.

242721600 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 242721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434455824).

242721600 is an abundant number, since it is smaller than the sum of its proper divisors (626190048).

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

242721600 is a wasteful number, since it uses less digits than its factorization.

242721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 242721600 is about 15579.5250248523. The cubic root of 242721600 is about 623.7867450104.

Adding to 242721600 its reverse (6127242), we get a palindrome (248848842).

The spelling of 242721600 in words is "two hundred forty-two million, seven hundred twenty-one thousand, six hundred".