243204864 has 144 divisors (see below), whose sum is σ = 779009280. Its totient is φ = 65802240.

The previous prime is 243204859. The next prime is 243204881. The reversal of 243204864 is 468402342.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100954 + ... + 103334.

Almost surely, 2^243204864 is an apocalyptic number.

243204864 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 243204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389504640).

243204864 is an abundant number, since it is smaller than the sum of its proper divisors (535804416).

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

243204864 is a wasteful number, since it uses less digits than its factorization.

243204864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 243204864 is about 15595.0268996241. The cubic root of 243204864 is about 624.2004615641.

The spelling of 243204864 in words is "two hundred forty-three million, two hundred four thousand, eight hundred sixty-four".