242325720 has 288 divisors, whose sum is σ = 976341600. Its totient is φ = 51038208.

The previous prime is 242325719. The next prime is 242325757. The reversal of 242325720 is 27523242.

242325720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 425596 + ... + 426164.

It is an arithmetic number, because the mean of its divisors is an integer number (3390075).

Almost surely, 2^242325720 is an apocalyptic number.

242325720 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 242325720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488170800).

242325720 is an abundant number, since it is smaller than the sum of its proper divisors (734015880).

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

242325720 is a wasteful number, since it uses less digits than its factorization.

242325720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 242325720 is about 15566.8147030791. The cubic root of 242325720 is about 623.4474274900.

Adding to 242325720 its reverse (27523242), we get a palindrome (269848962).

The spelling of 242325720 in words is "two hundred forty-two million, three hundred twenty-five thousand, seven hundred twenty".