242659200 has 384 divisors, whose sum is σ = 959224320. Its totient is φ = 52715520.

The previous prime is 242659187. The next prime is 242659217. The reversal of 242659200 is 2956242.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1545522 + ... + 1545678.

It is an arithmetic number, because the mean of its divisors is an integer number (2497980).

Almost surely, 2^242659200 is an apocalyptic number.

242659200 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 242659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479612160).

242659200 is an abundant number, since it is smaller than the sum of its proper divisors (716565120).

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

242659200 is a wasteful number, since it uses less digits than its factorization.

242659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 242659200 is about 15577.5222676779. The cubic root of 242659200 is about 623.7332850944.

The spelling of 242659200 in words is "two hundred forty-two million, six hundred fifty-nine thousand, two hundred".