242513600 has 168 divisors, whose sum is σ = 695431680. Its totient is φ = 81515520.

The previous prime is 242513599. The next prime is 242513611. The reversal of 242513600 is 6315242.

242513600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 660617 + ... + 660983.

Almost surely, 2^242513600 is an apocalyptic number.

242513600 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 242513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347715840).

242513600 is an abundant number, since it is smaller than the sum of its proper divisors (452918080).

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

242513600 is a wasteful number, since it uses less digits than its factorization.

242513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 242513600 is about 15572.8481659586. The cubic root of 242513600 is about 623.6085096398.

Adding to 242513600 its reverse (6315242), we get a palindrome (248828842).

The spelling of 242513600 in words is "two hundred forty-two million, five hundred thirteen thousand, six hundred".