242429952 has 104 divisors (see below), whose sum is σ = 655935280. Its totient is φ = 79626240.

The previous prime is 242429947. The next prime is 242429983. The reversal of 242429952 is 259924242.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 242429952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1339302 + ... + 1339482.

It is an arithmetic number, because the mean of its divisors is an integer number (6307070).

Almost surely, 2^242429952 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 242429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327967640).

242429952 is an abundant number, since it is smaller than the sum of its proper divisors (413505328).

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

242429952 is a wasteful number, since it uses less digits than its factorization.

242429952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 295 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 242429952 is about 15570.1622342222. The cubic root of 242429952 is about 623.5368028665.

The spelling of 242429952 in words is "two hundred forty-two million, four hundred twenty-nine thousand, nine hundred fifty-two".