242985600 has 576 divisors, whose sum is σ = 1035871200. Its totient is φ = 53452800.

The previous prime is 242985581. The next prime is 242985601. The reversal of 242985600 is 6589242.

It is a happy number.

242985600 is a `hidden beast` number, since 2 + 4 + 2 + 98 + 560 + 0 = 666.

242985600 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 (576).

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 (242985601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4118371 + ... + 4118429.

Almost surely, 2^242985600 is an apocalyptic number.

242985600 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 242985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517935600).

242985600 is an abundant number, since it is smaller than the sum of its proper divisors (792885600).

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

242985600 is a wasteful number, since it uses less digits than its factorization.

242985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

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

The square root of 242985600 is about 15587.9953810617. The cubic root of 242985600 is about 624.0128202494.

The spelling of 242985600 in words is "two hundred forty-two million, nine hundred eighty-five thousand, six hundred".