242440200 has 108 divisors (see below), whose sum is σ = 816419565. Its totient is φ = 64474560.

The previous prime is 242440139. The next prime is 242440207. The reversal of 242440200 is 2044242.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

242440200 is a `hidden beast` number, since 2 + 424 + 40 + 200 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 237591396 + 4848804 = 15414^2 + 2202^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11010.

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 (242440207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 660417 + ... + 660783.

Almost surely, 2^242440200 is an apocalyptic number.

242440200 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 242440200

242440200 is an abundant number, since it is smaller than the sum of its proper divisors (573979365).

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

242440200 is a wasteful number, since it uses less digits than its factorization.

242440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 242440200 is about 15570.4913217278. The cubic root of 242440200 is about 623.5455887928.

Multiplying 242440200 by its sum of digits (18), we get a square (4363923600 = 66060²).

242440200 divided by its sum of digits (18) gives a square (13468900 = 3670²).

Multiplying 242440200 by its product of nonzero digits (512), we get a square (124129382400 = 352320²).

Adding to 242440200 its reverse (2044242), we get a palindrome (244484442).

Multiplying 242440200 by its reverse (2044242), we get a square (495606439328400 = 22262220²).

It can be divided in two parts, 2424 and 40200, that added together give a palindrome (42624).

The spelling of 242440200 in words is "two hundred forty-two million, four hundred forty thousand, two hundred".