243978672 has 80 divisors (see below), whose sum is σ = 722453760. Its totient is φ = 69501696.

The previous prime is 243978671. The next prime is 243978673. The reversal of 243978672 is 276879342.

It is an interprime number because it is at equal distance from previous prime (243978671) and next prime (243978673).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (243978671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 139918 + ... + 141650.

It is an arithmetic number, because the mean of its divisors is an integer number (9030672).

Almost surely, 2^243978672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243978672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361226880).

243978672 is an abundant number, since it is smaller than the sum of its proper divisors (478475088).

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

243978672 is a wasteful number, since it uses less digits than its factorization.

243978672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2164 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 243978672 is about 15619.8166442503. The cubic root of 243978672 is about 624.8617695367.

It can be divided in two parts, 243978 and 672, that added together give a triangular number (244650 = T₆₉₉).

The spelling of 243978672 in words is "two hundred forty-three million, nine hundred seventy-eight thousand, six hundred seventy-two".