242469504 has 128 divisors (see below), whose sum is σ = 757900800. Its totient is φ = 76050432.

The previous prime is 242469497. The next prime is 242469517. The reversal of 242469504 is 405964242.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 56689 + ... + 60815.

It is an arithmetic number, because the mean of its divisors is an integer number (5921100).

Almost surely, 2^242469504 is an apocalyptic number.

242469504 is a gapful number since it is divisible by the number (24) 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 242469504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378950400).

242469504 is an abundant number, since it is smaller than the sum of its proper divisors (515431296).

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

242469504 is a wasteful number, since it uses less digits than its factorization.

242469504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 242469504 is about 15571.4323040625. The cubic root of 242469504 is about 623.5707106494.

The spelling of 242469504 in words is "two hundred forty-two million, four hundred sixty-nine thousand, five hundred four".