242040600 has 144 divisors (see below), whose sum is σ = 830437920. Its totient is φ = 63148800.

The previous prime is 242040499. The next prime is 242040607. The reversal of 242040600 is 6040242.

242040600 is a `hidden beast` number, since 2 + 4 + 20 + 40 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242040607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83170 + ... + 86030.

It is an arithmetic number, because the mean of its divisors is an integer number (5766930).

Almost surely, 2^242040600 is an apocalyptic number.

242040600 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 242040600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415218960).

242040600 is an abundant number, since it is smaller than the sum of its proper divisors (588397320).

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

242040600 is a wasteful number, since it uses less digits than its factorization.

242040600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242040600 is about 15557.6540648004. The cubic root of 242040600 is about 623.2028158265.

Adding to 242040600 its reverse (6040242), we get a palindrome (248080842).

The spelling of 242040600 in words is "two hundred forty-two million, forty thousand, six hundred".