242818464 has 48 divisors (see below), whose sum is σ = 728457408. Its totient is φ = 69376512.

The previous prime is 242818447. The next prime is 242818469. The reversal of 242818464 is 464818242.

242818464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is not an unprimeable number, because it can be changed into a prime (242818469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179997 + ... + 181340.

It is an arithmetic number, because the mean of its divisors is an integer number (15176196).

Almost surely, 2^242818464 is an apocalyptic number.

242818464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242818464 is an abundant number, since it is smaller than the sum of its proper divisors (485638944).

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

242818464 is a wasteful number, since it uses less digits than its factorization.

242818464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361357 (or 361349 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 242818464 is about 15582.6334103065. The cubic root of 242818464 is about 623.8697131013.

The spelling of 242818464 in words is "two hundred forty-two million, eight hundred eighteen thousand, four hundred sixty-four".