242504320 has 128 divisors (see below), whose sum is σ = 634521600. Its totient is φ = 88227840.

The previous prime is 242504291. The next prime is 242504329. The reversal of 242504320 is 23405242.

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

It is a super-3 number, since 3×242504320³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242504291 and 242504300.

It is not an unprimeable number, because it can be changed into a prime (242504329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336921 + ... + 337639.

It is an arithmetic number, because the mean of its divisors is an integer number (4957200).

Almost surely, 2^242504320 is an apocalyptic number.

242504320 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 242504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317260800).

242504320 is an abundant number, since it is smaller than the sum of its proper divisors (392017280).

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

242504320 is a wasteful number, since it uses less digits than its factorization.

242504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 242504320 is about 15572.5502086203. The cubic root of 242504320 is about 623.6005552257.

Adding to 242504320 its reverse (23405242), we get a palindrome (265909562).

The spelling of 242504320 in words is "two hundred forty-two million, five hundred four thousand, three hundred twenty".