243552540 has 288 divisors, whose sum is σ = 918376704. Its totient is φ = 47523840.

The previous prime is 243552521. The next prime is 243552593. The reversal of 243552540 is 45255342.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 243552498 and 243552507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 549559 + ... + 550001.

It is an arithmetic number, because the mean of its divisors is an integer number (3188808).

Almost surely, 2^243552540 is an apocalyptic number.

243552540 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 243552540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459188352).

243552540 is an abundant number, since it is smaller than the sum of its proper divisors (674824164).

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

243552540 is a wasteful number, since it uses less digits than its factorization.

243552540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 243552540 is about 15606.1699337153. The cubic root of 243552540 is about 624.4977639892.

The spelling of 243552540 in words is "two hundred forty-three million, five hundred fifty-two thousand, five hundred forty".