243875520 has 168 divisors, whose sum is σ = 958742304. Its totient is φ = 55738368.

The previous prime is 243875519. The next prime is 243875539. The reversal of 243875520 is 25578342.

243875520 is a `hidden beast` number, since 24 + 3 + 87 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 14112 + ... + 26208.

Almost surely, 2^243875520 is an apocalyptic number.

243875520 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 243875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479371152).

243875520 is an abundant number, since it is smaller than the sum of its proper divisors (714866784).

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

243875520 is a wasteful number, since it uses less digits than its factorization.

243875520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12127 (or 12114 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 243875520 is about 15616.5143357921. The cubic root of 243875520 is about 624.7736951343.

The spelling of 243875520 in words is "two hundred forty-three million, eight hundred seventy-five thousand, five hundred twenty".