242366920 has 96 divisors (see below), whose sum is σ = 582665400. Its totient is φ = 90617856.

The previous prime is 242366911. The next prime is 242366923. The reversal of 242366920 is 29663242.

It is a happy number.

242366920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 123076836 + 119290084 = 11094^2 + 10922^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242366923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2144784 + ... + 2144896.

Almost surely, 2^242366920 is an apocalyptic number.

242366920 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 242366920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291332700).

242366920 is an abundant number, since it is smaller than the sum of its proper divisors (340298480).

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

242366920 is a wasteful number, since it uses less digits than its factorization.

242366920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 242366920 is about 15568.1379747226. The cubic root of 242366920 is about 623.4827581439.

The spelling of 242366920 in words is "two hundred forty-two million, three hundred sixty-six thousand, nine hundred twenty".