242805528 has 96 divisors (see below), whose sum is σ = 760125600. Its totient is φ = 68580864.

The previous prime is 242805523. The next prime is 242805529. The reversal of 242805528 is 825508242.

242805528 is a `hidden beast` number, since 24 + 2 + 80 + 552 + 8 = 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 = 242805492 and 242805501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242805523) 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, 42150 + ... + 47562.

It is an arithmetic number, because the mean of its divisors is an integer number (7917975).

Almost surely, 2^242805528 is an apocalyptic number.

242805528 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 242805528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380062800).

242805528 is an abundant number, since it is smaller than the sum of its proper divisors (517320072).

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

242805528 is a wasteful number, since it uses less digits than its factorization.

242805528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5521 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 242805528 is about 15582.2183273114. The cubic root of 242805528 is about 623.8586341499.

The spelling of 242805528 in words is "two hundred forty-two million, eight hundred five thousand, five hundred twenty-eight".