243976320 has 256 divisors, whose sum is σ = 988012800. Its totient is φ = 55738368.

The previous prime is 243976297. The next prime is 243976349. The reversal of 243976320 is 23679342.

It is a happy number.

243976320 is a `hidden beast` number, since 243 + 97 + 6 + 320 = 666.

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

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, 119952 + ... + 121968.

It is an arithmetic number, because the mean of its divisors is an integer number (3859425).

Almost surely, 2^243976320 is an apocalyptic number.

243976320 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 243976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494006400).

243976320 is an abundant number, since it is smaller than the sum of its proper divisors (744036480).

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

243976320 is a wasteful number, since it uses less digits than its factorization.

243976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 243976320 is about 15619.7413550929. The cubic root of 243976320 is about 624.8597616021.

The spelling of 243976320 in words is "two hundred forty-three million, nine hundred seventy-six thousand, three hundred twenty".