242406528 has 192 divisors, whose sum is σ = 807448320. Its totient is φ = 63866880.

The previous prime is 242406511. The next prime is 242406533. The reversal of 242406528 is 825604242.

242406528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244113 + ... + 245103.

It is an arithmetic number, because the mean of its divisors is an integer number (4205460).

Almost surely, 2^242406528 is an apocalyptic number.

242406528 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 242406528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403724160).

242406528 is an abundant number, since it is smaller than the sum of its proper divisors (565041792).

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

242406528 is a wasteful number, since it uses less digits than its factorization.

242406528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 242406528 is about 15569.4100080896. The cubic root of 242406528 is about 623.5167198193.

The spelling of 242406528 in words is "two hundred forty-two million, four hundred six thousand, five hundred twenty-eight".