242546304 has 256 divisors, whose sum is σ = 866396160. Its totient is φ = 58060800.

The previous prime is 242546303. The next prime is 242546321. The reversal of 242546304 is 403645242.

242546304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242546303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384069 + ... + 384699.

It is an arithmetic number, because the mean of its divisors is an integer number (3384360).

Almost surely, 2^242546304 is an apocalyptic number.

242546304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242546304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433198080).

242546304 is an abundant number, since it is smaller than the sum of its proper divisors (623849856).

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

242546304 is a wasteful number, since it uses less digits than its factorization.

242546304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 242546304 is about 15573.8981632731. The cubic root of 242546304 is about 623.6365404746.

The spelling of 242546304 in words is "two hundred forty-two million, five hundred forty-six thousand, three hundred four".