242608320 has 84 divisors (see below), whose sum is σ = 834481440. Its totient is φ = 64694784.

The previous prime is 242608319. The next prime is 242608337. The reversal of 242608320 is 23806242.

242608320 is a `hidden beast` number, since 24 + 2 + 608 + 32 + 0 = 666.

242608320 is digitally balanced in base 2, 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 11 ways as a sum of consecutive naturals, for example, 39240 + ... + 44999.

Almost surely, 2^242608320 is an apocalyptic number.

242608320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242608320 is an abundant number, since it is smaller than the sum of its proper divisors (591873120).

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

242608320 is a wasteful number, since it uses less digits than its factorization.

242608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84262 (or 84249 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 242608320 is about 15575.8890596974. The cubic root of 242608320 is about 623.6896879180.

The spelling of 242608320 in words is "two hundred forty-two million, six hundred eight thousand, three hundred twenty".