242114400 has 288 divisors, whose sum is σ = 956188800. Its totient is φ = 58636800.

The previous prime is 242114387. The next prime is 242114407. The reversal of 242114400 is 4411242.

242114400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 (242114407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237091 + ... + 238109.

It is an arithmetic number, because the mean of its divisors is an integer number (3320100).

Almost surely, 2^242114400 is an apocalyptic number.

242114400 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 242114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478094400).

242114400 is an abundant number, since it is smaller than the sum of its proper divisors (714074400).

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

242114400 is a wasteful number, since it uses less digits than its factorization.

242114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 242114400 is about 15560.0257069196. The cubic root of 242114400 is about 623.2661491324.

Adding to 242114400 its reverse (4411242), we get a palindrome (246525642).

The spelling of 242114400 in words is "two hundred forty-two million, one hundred fourteen thousand, four hundred".