242807292 has 144 divisors (see below), whose sum is σ = 762320832. Its totient is φ = 63452160.

The previous prime is 242807269. The next prime is 242807293. The reversal of 242807292 is 292708242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242807293) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448542 + ... + 449082.

Almost surely, 2^242807292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242807292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381160416).

242807292 is an abundant number, since it is smaller than the sum of its proper divisors (519513540).

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

242807292 is a wasteful number, since it uses less digits than its factorization.

242807292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 242807292 is about 15582.2749301891. The cubic root of 242807292 is about 623.8601449391.

The spelling of 242807292 in words is "two hundred forty-two million, eight hundred seven thousand, two hundred ninety-two".