242891600 has 120 divisors (see below), whose sum is σ = 671623680. Its totient is φ = 82690560.

The previous prime is 242891599. The next prime is 242891651. The reversal of 242891600 is 6198242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624206 + ... + 624594.

It is an arithmetic number, because the mean of its divisors is an integer number (5596864).

Almost surely, 2^242891600 is an apocalyptic number.

242891600 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 242891600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335811840).

242891600 is an abundant number, since it is smaller than the sum of its proper divisors (428732080).

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

242891600 is a wasteful number, since it uses less digits than its factorization.

242891600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 242891600 is about 15584.9799486557. The cubic root of 242891600 is about 623.9323425439.

The spelling of 242891600 in words is "two hundred forty-two million, eight hundred ninety-one thousand, six hundred".