242460672 has 192 divisors, whose sum is σ = 712857600. Its totient is φ = 72990720.

The previous prime is 242460671. The next prime is 242460683. The reversal of 242460672 is 276064242.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (242460671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3618783 + ... + 3618849.

It is an arithmetic number, because the mean of its divisors is an integer number (3712800).

Almost surely, 2^242460672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356428800).

242460672 is an abundant number, since it is smaller than the sum of its proper divisors (470396928).

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

242460672 is a wasteful number, since it uses less digits than its factorization.

242460672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 242460672 is about 15571.1487052176. The cubic root of 242460672 is about 623.5631393283.

The spelling of 242460672 in words is "two hundred forty-two million, four hundred sixty thousand, six hundred seventy-two".