242432124 has 96 divisors (see below), whose sum is σ = 633534720. Its totient is φ = 71539200.

The previous prime is 242432111. The next prime is 242432129. The reversal of 242432124 is 421234242.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 242432094 and 242432103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242432129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1339314 + ... + 1339494.

It is an arithmetic number, because the mean of its divisors is an integer number (6599320).

Almost surely, 2^242432124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242432124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316767360).

242432124 is an abundant number, since it is smaller than the sum of its proper divisors (391102596).

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

242432124 is a wasteful number, since it uses less digits than its factorization.

242432124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 242432124 is about 15570.2319828575. The cubic root of 242432124 is about 623.5386650097.

Adding to 242432124 its reverse (421234242), we get a palindrome (663666366).

It can be divided in two parts, 242432 and 124, that added together give a triangular number (242556 = T₆₉₆).

The spelling of 242432124 in words is "two hundred forty-two million, four hundred thirty-two thousand, one hundred twenty-four".