242812417600 has 189 divisors, whose sum is σ = 608484212163. Its totient is φ = 95366799360.

The previous prime is 242812417541. The next prime is 242812417619. The reversal of 242812417600 is 6714218242.

The square root of 242812417600 is 492760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8927982144 + 233884435456 = 94488^2 + 483616^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242812417600.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1911908737 + ... + 1911908863.

Almost surely, 2^242812417600 is an apocalyptic number.

242812417600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

242812417600 is the 492760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242812417600

242812417600 is an abundant number, since it is smaller than the sum of its proper divisors (365671794563).

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

242812417600 is an frugal number, since it uses more digits than its factorization.

242812417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 242812417600 in words is "two hundred forty-two billion, eight hundred twelve million, four hundred seventeen thousand, six hundred".