242444160 has 288 divisors, whose sum is σ = 975007800. Its totient is φ = 55351296.

The previous prime is 242444141. The next prime is 242444179. The reversal of 242444160 is 61444242.

It is a happy number.

242444160 is a `hidden beast` number, since 2 + 4 + 244 + 416 + 0 = 666.

242444160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242444141) and next prime (242444179).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281811 + ... + 282669.

Almost surely, 2^242444160 is an apocalyptic number.

242444160 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 242444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487503900).

242444160 is an abundant number, since it is smaller than the sum of its proper divisors (732563640).

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

242444160 is a wasteful number, since it uses less digits than its factorization.

242444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 242444160 is about 15570.6184848258. The cubic root of 242444160 is about 623.5489837566.

The spelling of 242444160 in words is "two hundred forty-two million, four hundred forty-four thousand, one hundred sixty".