242450208 has 432 divisors, whose sum is σ = 958741056. Its totient is φ = 56125440.

The previous prime is 242450191. The next prime is 242450227. The reversal of 242450208 is 802054242.

It is a happy number.

242450208 is a `hidden beast` number, since 2 + 4 + 2 + 450 + 208 = 666.

242450208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 8360338 + ... + 8360366.

It is an arithmetic number, because the mean of its divisors is an integer number (2219308).

Almost surely, 2^242450208 is an apocalyptic number.

242450208 is a gapful number since it is divisible by the number (28) 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 242450208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479370528).

242450208 is an abundant number, since it is smaller than the sum of its proper divisors (716290848).

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

242450208 is a wasteful number, since it uses less digits than its factorization.

242450208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

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

The square root of 242450208 is about 15570.8126955532. The cubic root of 242450208 is about 623.5541687208.

The spelling of 242450208 in words is "two hundred forty-two million, four hundred fifty thousand, two hundred eight".