242715200 has 168 divisors, whose sum is σ = 735494592. Its totient is φ = 76769280.

The previous prime is 242715167. The next prime is 242715211. The reversal of 242715200 is 2517242.

It is a happy number.

It is a super-2 number, since 2×242715200² = 117821336622080000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144767 + ... + 146433.

It is an arithmetic number, because the mean of its divisors is an integer number (4377944).

Almost surely, 2^242715200 is an apocalyptic number.

242715200 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 242715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367747296).

242715200 is an abundant number, since it is smaller than the sum of its proper divisors (492779392).

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

242715200 is a wasteful number, since it uses less digits than its factorization.

242715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 242715200 is about 15579.3196257089. The cubic root of 242715200 is about 623.7812623638.

The spelling of 242715200 in words is "two hundred forty-two million, seven hundred fifteen thousand, two hundred".