243948672 has 384 divisors, whose sum is σ = 855429120. Its totient is φ = 68428800.

The previous prime is 243948671. The next prime is 243948673. The reversal of 243948672 is 276849342.

It is an interprime number because it is at equal distance from previous prime (243948671) and next prime (243948673).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (243948671) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7869297 + ... + 7869327.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 2^243948672 is an apocalyptic number.

243948672 is a gapful number since it is divisible by the number (22) 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 243948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427714560).

243948672 is an abundant number, since it is smaller than the sum of its proper divisors (611480448).

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

243948672 is a wasteful number, since it uses less digits than its factorization.

243948672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 243948672 is about 15618.8562961569. The cubic root of 243948672 is about 624.8361571593.

The spelling of 243948672 in words is "two hundred forty-three million, nine hundred forty-eight thousand, six hundred seventy-two".