242576576 has 42 divisors (see below), whose sum is σ = 526019268. Its totient is φ = 110074240.

The previous prime is 242576569. The next prime is 242576603. The reversal of 242576576 is 675675242.

242576576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (705600) is a multiple of the sum of its prime divisors (600).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 412955 + ... + 413541.

Almost surely, 2^242576576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242576576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263009634).

242576576 is an abundant number, since it is smaller than the sum of its proper divisors (283442692).

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

242576576 is an frugal number, since it uses more digits than its factorization.

242576576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 600 counting only the distinct ones).

The product of its digits is 705600, while the sum is 44.

The square root of 242576576 is about 15574.8700155090. The cubic root of 242576576 is about 623.6624845791.

Multiplying 242576576 by its sum of digits (44), we get a square (10673369344 = 103312²).

242576576 divided by its sum of digits (44) gives a square (5513104 = 2348²).

The spelling of 242576576 in words is "two hundred forty-two million, five hundred seventy-six thousand, five hundred seventy-six".