242589312 has 192 divisors, whose sum is σ = 811512000. Its totient is φ = 68124672.

The previous prime is 242589301. The next prime is 242589317. The reversal of 242589312 is 213985242.

It is a happy number.

242589312 is a `hidden beast` number, since 2 + 42 + 589 + 31 + 2 = 666.

242589312 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 (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242589317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540064 + ... + 540512.

It is an arithmetic number, because the mean of its divisors is an integer number (4226625).

Almost surely, 2^242589312 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 242589312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405756000).

242589312 is an abundant number, since it is smaller than the sum of its proper divisors (568922688).

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

242589312 is a wasteful number, since it uses less digits than its factorization.

242589312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 528 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 242589312 is about 15575.2788739078. The cubic root of 242589312 is about 623.6733991070.

The spelling of 242589312 in words is "two hundred forty-two million, five hundred eighty-nine thousand, three hundred twelve".