242053504 has 128 divisors (see below), whose sum is σ = 616896000. Its totient is φ = 91852800.

The previous prime is 242053499. The next prime is 242053543. The reversal of 242053504 is 405350242.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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, 403797 + ... + 404395.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500).

Almost surely, 2^242053504 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 242053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448000).

242053504 is an abundant number, since it is smaller than the sum of its proper divisors (374842496).

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

242053504 is a wasteful number, since it uses less digits than its factorization.

242053504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 242053504 is about 15558.0687747548. The cubic root of 242053504 is about 623.2138906437.

The spelling of 242053504 in words is "two hundred forty-two million, fifty-three thousand, five hundred four".