242129440 has 96 divisors (see below), whose sum is σ = 666247680. Its totient is φ = 81429504.

The previous prime is 242129429. The next prime is 242129449. The reversal of 242129440 is 44921242.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 242129399 and 242129408.

It is not an unprimeable number, because it can be changed into a prime (242129449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57321 + ... + 61399.

It is an arithmetic number, because the mean of its divisors is an integer number (6940080).

Almost surely, 2^242129440 is an apocalyptic number.

242129440 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 242129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333123840).

242129440 is an abundant number, since it is smaller than the sum of its proper divisors (424118240).

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

242129440 is a wasteful number, since it uses less digits than its factorization.

242129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 242129440 is about 15560.5089891044. The cubic root of 242129440 is about 623.2790545039.

The spelling of 242129440 in words is "two hundred forty-two million, one hundred twenty-nine thousand, four hundred forty".