242520 has 64 divisors (see below), whose sum is σ = 760320. Its totient is φ = 61824.

The previous prime is 242519. The next prime is 242521. The reversal of 242520 is 25242.

It is an interprime number because it is at equal distance from previous prime (242519) and next prime (242521).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 242520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5137 + ... + 5183.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

2²⁴²⁵²⁰ is an apocalyptic number.

242520 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 242520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380160).

242520 is an abundant number, since it is smaller than the sum of its proper divisors (517800).

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

242520 is a wasteful number, since it uses less digits than its factorization.

242520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 242520 is about 492.4631965944. The cubic root of 242520 is about 62.3613995324.

Adding to 242520 its reverse (25242), we get a palindrome (267762).

The spelling of 242520 in words is "two hundred forty-two thousand, five hundred twenty".