242906328 has 144 divisors (see below), whose sum is σ = 790320960. Its totient is φ = 67132800.

The previous prime is 242906311. The next prime is 242906329. The reversal of 242906328 is 823609242.

242906328 is a `hidden beast` number, since 242 + 90 + 6 + 328 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 242906292 and 242906301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242906329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108258 + ... + 110478.

It is an arithmetic number, because the mean of its divisors is an integer number (5488340).

Almost surely, 2^242906328 is an apocalyptic number.

242906328 is a gapful number since it is divisible by the number (28) 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 242906328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395160480).

242906328 is an abundant number, since it is smaller than the sum of its proper divisors (547414632).

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

242906328 is a wasteful number, since it uses less digits than its factorization.

242906328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 242906328 is about 15585.4524477155. The cubic root of 242906328 is about 623.9449532309.

The spelling of 242906328 in words is "two hundred forty-two million, nine hundred six thousand, three hundred twenty-eight".