243413840 has 40 divisors (see below), whose sum is σ = 567803688. Its totient is φ = 97044480.

The previous prime is 243413831. The next prime is 243413857. The reversal of 243413840 is 48314342.

It can be written as a sum of positive squares in 4 ways, for example, as 27793984 + 215619856 = 5272^2 + 14684^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×243413840³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20180 + ... + 29900.

Almost surely, 2^243413840 is an apocalyptic number.

243413840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243413840 is an abundant number, since it is smaller than the sum of its proper divisors (324389848).

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

243413840 is a wasteful number, since it uses less digits than its factorization.

243413840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10047 (or 10041 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 243413840 is about 15601.7255455927. The cubic root of 243413840 is about 624.3791936968.

The spelling of 243413840 in words is "two hundred forty-three million, four hundred thirteen thousand, eight hundred forty".