242725824 has 168 divisors, whose sum is σ = 785743920. Its totient is φ = 70963200.

The previous prime is 242725811. The next prime is 242725843. The reversal of 242725824 is 428527242.

242725824 is a `hidden beast` number, since 2 + 4 + 2 + 72 + 582 + 4 = 666.

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

It is a congruent number.

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, 183084 + ... + 184404.

Almost surely, 2^242725824 is an apocalyptic number.

242725824 is a gapful number since it is divisible by the number (24) 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 242725824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392871960).

242725824 is an abundant number, since it is smaller than the sum of its proper divisors (543018096).

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

242725824 is a wasteful number, since it uses less digits than its factorization.

242725824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1366 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 242725824 is about 15579.6605868036. The cubic root of 242725824 is about 623.7903635043.

The spelling of 242725824 in words is "two hundred forty-two million, seven hundred twenty-five thousand, eight hundred twenty-four".