243726840 has 256 divisors, whose sum is σ = 940492800. Its totient is φ = 54991872.

The previous prime is 243726839. The next prime is 243726859. The reversal of 243726840 is 48627342.

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

It is a junction number, because it is equal to n+sod(n) for n = 243726795 and 243726804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 778524 + ... + 778836.

It is an arithmetic number, because the mean of its divisors is an integer number (3673800).

Almost surely, 2^243726840 is an apocalyptic number.

243726840 is a gapful number since it is divisible by the number (20) 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 243726840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470246400).

243726840 is an abundant number, since it is smaller than the sum of its proper divisors (696765960).

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

243726840 is a wasteful number, since it uses less digits than its factorization.

243726840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 243726840 is about 15611.7532647682. The cubic root of 243726840 is about 624.6467037952.

The spelling of 243726840 in words is "two hundred forty-three million, seven hundred twenty-six thousand, eight hundred forty".