243993516 has 96 divisors (see below), whose sum is σ = 649904640. Its totient is φ = 70626816.

The previous prime is 243993493. The next prime is 243993517. The reversal of 243993516 is 615399342.

It is a happy number.

243993516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (243993517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779376 + ... + 779688.

It is an arithmetic number, because the mean of its divisors is an integer number (6769840).

Almost surely, 2^243993516 is an apocalyptic number.

243993516 is a gapful number since it is divisible by the number (26) 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 243993516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324952320).

243993516 is an abundant number, since it is smaller than the sum of its proper divisors (405911124).

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

243993516 is a wasteful number, since it uses less digits than its factorization.

243993516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 613 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 243993516 is about 15620.2918026521. The cubic root of 243993516 is about 624.8744417646.

The spelling of 243993516 in words is "two hundred forty-three million, nine hundred ninety-three thousand, five hundred sixteen".