242854200 has 288 divisors, whose sum is σ = 893692800. Its totient is φ = 61119360.

The previous prime is 242854187. The next prime is 242854229. The reversal of 242854200 is 2458242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 923269 + ... + 923531.

It is an arithmetic number, because the mean of its divisors is an integer number (3103100).

Almost surely, 2^242854200 is an apocalyptic number.

242854200 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 242854200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446846400).

242854200 is an abundant number, since it is smaller than the sum of its proper divisors (650838600).

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

242854200 is a wasteful number, since it uses less digits than its factorization.

242854200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 242854200 is about 15583.7800292484. The cubic root of 242854200 is about 623.9003169169.

The spelling of 242854200 in words is "two hundred forty-two million, eight hundred fifty-four thousand, two hundred".