243152040 has 64 divisors (see below), whose sum is σ = 732245760. Its totient is φ = 64592640.

The previous prime is 243152033. The next prime is 243152047. The reversal of 243152040 is 40251342.

It is an interprime number because it is at equal distance from previous prime (243152033) and next prime (243152047).

It is a junction number, because it is equal to n+sod(n) for n = 243151998 and 243152016.

It is not an unprimeable number, because it can be changed into a prime (243152047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28782 + ... + 36258.

It is an arithmetic number, because the mean of its divisors is an integer number (11441340).

Almost surely, 2^243152040 is an apocalyptic number.

243152040 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 243152040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366122880).

243152040 is an abundant number, since it is smaller than the sum of its proper divisors (489093720).

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

243152040 is a wasteful number, since it uses less digits than its factorization.

243152040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 243152040 is about 15593.3331908223. Note that the first 3 decimals coincide. The cubic root of 243152040 is about 624.1552662609.

The spelling of 243152040 in words is "two hundred forty-three million, one hundred fifty-two thousand, forty".