242435600 has 90 divisors (see below), whose sum is σ = 640343130. Its totient is φ = 88140800.

The previous prime is 242435579. The next prime is 242435647. The reversal of 242435600 is 6534242.

It can be written as a sum of positive squares in 3 ways, for example, as 13337104 + 229098496 = 3652^2 + 15136^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242435600.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45896 + ... + 50904.

Almost surely, 2^242435600 is an apocalyptic number.

242435600 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 242435600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320171565).

242435600 is an abundant number, since it is smaller than the sum of its proper divisors (397907530).

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

242435600 is a wasteful number, since it uses less digits than its factorization.

242435600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5049 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 242435600 is about 15570.3436057140. The cubic root of 242435600 is about 623.5416451016.

Adding to 242435600 its reverse (6534242), we get a palindrome (248969842).

The spelling of 242435600 in words is "two hundred forty-two million, four hundred thirty-five thousand, six hundred".