242816784 has 40 divisors (see below), whose sum is σ = 716888640. Its totient is φ = 69376128.

The previous prime is 242816771. The next prime is 242816803. The reversal of 242816784 is 487618242.

It is a super-3 number, since 3×242816784³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 360999 + ... + 361670.

It is an arithmetic number, because the mean of its divisors is an integer number (17922216).

Almost surely, 2^242816784 is an apocalyptic number.

242816784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242816784 is an abundant number, since it is smaller than the sum of its proper divisors (474071856).

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

242816784 is a wasteful number, since it uses less digits than its factorization.

242816784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722687 (or 722681 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 242816784 is about 15582.5795040487. The cubic root of 242816784 is about 623.8682742987.

The spelling of 242816784 in words is "two hundred forty-two million, eight hundred sixteen thousand, seven hundred eighty-four".