242232400 has 60 divisors (see below), whose sum is σ = 583703712. Its totient is φ = 96603520.

The previous prime is 242232391. The next prime is 242232401. The reversal of 242232400 is 4232242.

It is a super-3 number, since 3×242232400³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242232401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176517 + ... + 177883.

Almost surely, 2^242232400 is an apocalyptic number.

242232400 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 242232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291851856).

242232400 is an abundant number, since it is smaller than the sum of its proper divisors (341471312).

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

242232400 is a wasteful number, since it uses less digits than its factorization.

242232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1817 counting only the distinct ones).

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

The square root of 242232400 is about 15563.8170125455. The cubic root of 242232400 is about 623.3673870332.

Adding to 242232400 its reverse (4232242), we get a palindrome (246464642).

The spelling of 242232400 in words is "two hundred forty-two million, two hundred thirty-two thousand, four hundred".