242385696 has 288 divisors, whose sum is σ = 841696128. Its totient is φ = 67184640.

The previous prime is 242385691. The next prime is 242385697. The reversal of 242385696 is 696583242.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242385691) 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 47 ways as a sum of consecutive naturals, for example, 3320316 + ... + 3320388.

It is an arithmetic number, because the mean of its divisors is an integer number (2922556).

Almost surely, 2^242385696 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 242385696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420848064).

242385696 is an abundant number, since it is smaller than the sum of its proper divisors (599310432).

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

242385696 is an equidigital number, since it uses as much as digits as its factorization.

242385696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 146 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 242385696 is about 15568.7409895598. The cubic root of 242385696 is about 623.4988579895.

The spelling of 242385696 in words is "two hundred forty-two million, three hundred eighty-five thousand, six hundred ninety-six".