242992332 has 96 divisors (see below), whose sum is σ = 717212160. Its totient is φ = 70424640.

The previous prime is 242992331. The next prime is 242992361. The reversal of 242992332 is 233299242.

242992332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (242992331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22878 + ... + 31770.

It is an arithmetic number, because the mean of its divisors is an integer number (7470960).

Almost surely, 2^242992332 is an apocalyptic number.

242992332 is a gapful number since it is divisible by the number (22) 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 242992332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358606080).

242992332 is an abundant number, since it is smaller than the sum of its proper divisors (474219828).

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

242992332 is a wasteful number, since it uses less digits than its factorization.

242992332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8940 (or 8932 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 242992332 is about 15588.2113149649. The cubic root of 242992332 is about 624.0185830265.

The spelling of 242992332 in words is "two hundred forty-two million, nine hundred ninety-two thousand, three hundred thirty-two".