242438304 has 48 divisors (see below), whose sum is σ = 645382080. Its totient is φ = 79672320.

The previous prime is 242438293. The next prime is 242438311. The reversal of 242438304 is 403834242.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10969 + ... + 24600.

It is an arithmetic number, because the mean of its divisors is an integer number (13445460).

Almost surely, 2^242438304 is an apocalyptic number.

242438304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242438304 is an abundant number, since it is smaller than the sum of its proper divisors (402943776).

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

242438304 is a wasteful number, since it uses less digits than its factorization.

242438304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35653 (or 35645 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 242438304 is about 15570.4304372101. The cubic root of 242438304 is about 623.5439633122.

The spelling of 242438304 in words is "two hundred forty-two million, four hundred thirty-eight thousand, three hundred four".