243505140 has 192 divisors, whose sum is σ = 772208640. Its totient is φ = 57024000.

The previous prime is 243505099. The next prime is 243505147. The reversal of 243505140 is 41505342.

It is a self number, because there is not a number n which added to its sum of digits gives 243505140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243505147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 970015 + ... + 970265.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2^243505140 is an apocalyptic number.

243505140 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 243505140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386104320).

243505140 is an abundant number, since it is smaller than the sum of its proper divisors (528703500).

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

243505140 is a wasteful number, since it uses less digits than its factorization.

243505140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 243505140 is about 15604.6512296815. The cubic root of 243505140 is about 624.4572482760.

The spelling of 243505140 in words is "two hundred forty-three million, five hundred five thousand, one hundred forty".