242004500 has 48 divisors (see below), whose sum is σ = 530122320. Its totient is φ = 96512000.

The previous prime is 242004491. The next prime is 242004547. The reversal of 242004500 is 5400242.

It can be written as a sum of positive squares in 8 ways, for example, as 179720836 + 62283664 = 13406^2 + 7892^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260036 + ... + 260964.

It is an arithmetic number, because the mean of its divisors is an integer number (11044215).

Almost surely, 2^242004500 is an apocalyptic number.

242004500 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 242004500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265061160).

242004500 is an abundant number, since it is smaller than the sum of its proper divisors (288117820).

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

242004500 is a wasteful number, since it uses less digits than its factorization.

242004500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 242004500 is about 15556.4938209096. The cubic root of 242004500 is about 623.1718310244.

Adding to 242004500 its reverse (5400242), we get a palindrome (247404742).

The spelling of 242004500 in words is "two hundred forty-two million, four thousand, five hundred".