242459712 has 168 divisors, whose sum is σ = 803099232. Its totient is φ = 69120000.

The previous prime is 242459687. The next prime is 242459713. The reversal of 242459712 is 217954242.

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 (242459713) 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, 106587 + ... + 108837.

Almost surely, 2^242459712 is an apocalyptic number.

242459712 is a gapful number since it is divisible by the number (22) 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 242459712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401549616).

242459712 is an abundant number, since it is smaller than the sum of its proper divisors (560639520).

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

242459712 is a wasteful number, since it uses less digits than its factorization.

242459712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2284 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 242459712 is about 15571.1178789450. The cubic root of 242459712 is about 623.5623163476.

It can be divided in two parts, 242 and 459712, that added together give a palindrome (459954).

The spelling of 242459712 in words is "two hundred forty-two million, four hundred fifty-nine thousand, seven hundred twelve".