243472320 has 336 divisors, whose sum is σ = 1031808960. Its totient is φ = 51314688.

The previous prime is 243472297. The next prime is 243472343. The reversal of 243472320 is 23274342.

It is an interprime number because it is at equal distance from previous prime (243472297) and next prime (243472343).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261616 + ... + 262544.

It is an arithmetic number, because the mean of its divisors is an integer number (3070860).

Almost surely, 2^243472320 is an apocalyptic number.

243472320 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 243472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515904480).

243472320 is an abundant number, since it is smaller than the sum of its proper divisors (788336640).

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

243472320 is a wasteful number, since it uses less digits than its factorization.

243472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 243472320 is about 15603.5995847112. The cubic root of 243472320 is about 624.4291919104.

The spelling of 243472320 in words is "two hundred forty-three million, four hundred seventy-two thousand, three hundred twenty".