242639232 has 256 divisors, whose sum is σ = 775526400. Its totient is φ = 66355200.

The previous prime is 242639209. The next prime is 242639237. The reversal of 242639232 is 232936242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 242639193 and 242639202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242639237) 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, 2225994 + ... + 2226102.

It is an arithmetic number, because the mean of its divisors is an integer number (3029400).

Almost surely, 2^242639232 is an apocalyptic number.

242639232 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 242639232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387763200).

242639232 is an abundant number, since it is smaller than the sum of its proper divisors (532887168).

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

242639232 is a wasteful number, since it uses less digits than its factorization.

242639232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 242639232 is about 15576.8813309982. The cubic root of 242639232 is about 623.7161759858.

The spelling of 242639232 in words is "two hundred forty-two million, six hundred thirty-nine thousand, two hundred thirty-two".