242834400 has 216 divisors, whose sum is σ = 886583880. Its totient is φ = 62469120.

The previous prime is 242834399. The next prime is 242834407. The reversal of 242834400 is 4438242.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242834407) 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, 208219 + ... + 209381.

It is an arithmetic number, because the mean of its divisors is an integer number (4104555).

Almost surely, 2^242834400 is an apocalyptic number.

242834400 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 242834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443291940).

242834400 is an abundant number, since it is smaller than the sum of its proper divisors (643749480).

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

242834400 is a wasteful number, since it uses less digits than its factorization.

242834400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 242834400 is about 15583.1447403918. The cubic root of 242834400 is about 623.8833608420.

The spelling of 242834400 in words is "two hundred forty-two million, eight hundred thirty-four thousand, four hundred".