242306520 has 64 divisors (see below), whose sum is σ = 729699840. Its totient is φ = 64368000.

The previous prime is 242306501. The next prime is 242306521. The reversal of 242306520 is 25603242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242306521) 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, 28795 + ... + 36245.

It is an arithmetic number, because the mean of its divisors is an integer number (11401560).

Almost surely, 2^242306520 is an apocalyptic number.

242306520 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 242306520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364849920).

242306520 is an abundant number, since it is smaller than the sum of its proper divisors (487393320).

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

242306520 is a wasteful number, since it uses less digits than its factorization.

242306520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7736 (or 7732 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 242306520 is about 15566.1979943723. The cubic root of 242306520 is about 623.4309613513.

Adding to 242306520 its reverse (25603242), we get a palindrome (267909762).

The spelling of 242306520 in words is "two hundred forty-two million, three hundred six thousand, five hundred twenty".