243416448 has 256 divisors, whose sum is σ = 827424000. Its totient is φ = 69672960.

The previous prime is 243416447. The next prime is 243416461. The reversal of 243416448 is 844614342.

243416448 is a `hidden beast` number, since 2 + 4 + 3 + 4 + 1 + 644 + 8 = 666.

243416448 is digitally balanced in base 3, 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243416447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722136 + ... + 722472.

It is an arithmetic number, because the mean of its divisors is an integer number (3232125).

Almost surely, 2^243416448 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 243416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413712000).

243416448 is an abundant number, since it is smaller than the sum of its proper divisors (584007552).

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

243416448 is a wasteful number, since it uses less digits than its factorization.

243416448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 372 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 243416448 is about 15601.8091258674. The cubic root of 243416448 is about 624.3814236098.

The spelling of 243416448 in words is "two hundred forty-three million, four hundred sixteen thousand, four hundred forty-eight".