243545120 has 192 divisors, whose sum is σ = 726485760. Its totient is φ = 75091968.

The previous prime is 243545069. The next prime is 243545143. The reversal of 243545120 is 21545342.

It is a happy number.

It is a super-3 number, since 3×243545120³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 243545120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625886 + ... + 626274.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2^243545120 is an apocalyptic number.

243545120 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 243545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363242880).

243545120 is an abundant number, since it is smaller than the sum of its proper divisors (482940640).

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

243545120 is a wasteful number, since it uses less digits than its factorization.

243545120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 243545120 is about 15605.9322054147. The cubic root of 243545120 is about 624.4914220031.

The spelling of 243545120 in words is "two hundred forty-three million, five hundred forty-five thousand, one hundred twenty".