243774000 has 240 divisors, whose sum is σ = 882666720. Its totient is φ = 62630400.

The previous prime is 243773993. The next prime is 243774023. The reversal of 243774000 is 477342.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521767 + ... + 522233.

It is an arithmetic number, because the mean of its divisors is an integer number (3677778).

Almost surely, 2^243774000 is an apocalyptic number.

243774000 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 243774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441333360).

243774000 is an abundant number, since it is smaller than the sum of its proper divisors (638892720).

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

243774000 is a wasteful number, since it uses less digits than its factorization.

243774000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 243774000 is about 15613.2635922154. The cubic root of 243774000 is about 624.6869899324.

The spelling of 243774000 in words is "two hundred forty-three million, seven hundred seventy-four thousand".