242265600 has 240 divisors, whose sum is σ = 890501040. Its totient is φ = 64512000.

The previous prime is 242265577. The next prime is 242265607. The reversal of 242265600 is 6562242.

242265600 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 656 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242265607) 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 23 ways as a sum of consecutive naturals, for example, 345250 + ... + 345950.

It is an arithmetic number, because the mean of its divisors is an integer number (3710421).

Almost surely, 2^242265600 is an apocalyptic number.

242265600 is a gapful number since it is divisible by the number (20) 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 242265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445250520).

242265600 is an abundant number, since it is smaller than the sum of its proper divisors (648235440).

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

242265600 is an equidigital number, since it uses as much as digits as its factorization.

242265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 242265600 is about 15564.8835524073. The cubic root of 242265600 is about 623.3958649905.

The spelling of 242265600 in words is "two hundred forty-two million, two hundred sixty-five thousand, six hundred".