243376416 has 72 divisors (see below), whose sum is σ = 703881360. Its totient is φ = 79744896.

The previous prime is 243376373. The next prime is 243376423. The reversal of 243376416 is 614673342.

It is a happy number.

243376416 is a `hidden beast` number, since 2 + 4 + 3 + 3 + 7 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9831 + ... + 24153.

It is an arithmetic number, because the mean of its divisors is an integer number (9776130).

Almost surely, 2^243376416 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 243376416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351940680).

243376416 is an abundant number, since it is smaller than the sum of its proper divisors (460504944).

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

243376416 is a wasteful number, since it uses less digits than its factorization.

243376416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14398 (or 14387 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 243376416 is about 15600.5261449734. The cubic root of 243376416 is about 624.3471933737.

The spelling of 243376416 in words is "two hundred forty-three million, three hundred seventy-six thousand, four hundred sixteen".