242914560 has 216 divisors, whose sum is σ = 903170016. Its totient is φ = 55480320.

The previous prime is 242914549. The next prime is 242914561. The reversal of 242914560 is 65419242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242914561) 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, 187515 + ... + 188805.

Almost surely, 2^242914560 is an apocalyptic number.

242914560 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 242914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451585008).

242914560 is an abundant number, since it is smaller than the sum of its proper divisors (660255456).

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

242914560 is a wasteful number, since it uses less digits than its factorization.

242914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 242914560 is about 15585.7165379074. The cubic root of 242914560 is about 623.9520015677.

The spelling of 242914560 in words is "two hundred forty-two million, nine hundred fourteen thousand, five hundred sixty".