242746400 has 144 divisors (see below), whose sum is σ = 676222344. Its totient is φ = 84295680.

The previous prime is 242746391. The next prime is 242746411. The reversal of 242746400 is 4647242.

It can be written as a sum of positive squares in 12 ways, for example, as 64577296 + 178169104 = 8036^2 + 13348^2 .

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, 176114 + ... + 177486.

Almost surely, 2^242746400 is an apocalyptic number.

242746400 is a gapful number since it is divisible by the number (20) 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 242746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338111172).

242746400 is an abundant number, since it is smaller than the sum of its proper divisors (433475944).

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

242746400 is a wasteful number, since it uses less digits than its factorization.

242746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 242746400 is about 15580.3209209567. The cubic root of 242746400 is about 623.8079893556.

The spelling of 242746400 in words is "two hundred forty-two million, seven hundred forty-six thousand, four hundred".