242430400 has 84 divisors (see below), whose sum is σ = 599778328. Its totient is φ = 96445440.

The previous prime is 242430361. The next prime is 242430403. The reversal of 242430400 is 4034242.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242430403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 442927 + ... + 443473.

Almost surely, 2^242430400 is an apocalyptic number.

242430400 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 242430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299889164).

242430400 is an abundant number, since it is smaller than the sum of its proper divisors (357347928).

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

242430400 is a wasteful number, since it uses less digits than its factorization.

242430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 242430400 is about 15570.1766207067. The cubic root of 242430400 is about 623.5371869559.

Adding to 242430400 its reverse (4034242), we get a palindrome (246464642).

The spelling of 242430400 in words is "two hundred forty-two million, four hundred thirty thousand, four hundred".