232547040 has 288 divisors, whose sum is σ = 885227616. Its totient is φ = 55111680.

The previous prime is 232546991. The next prime is 232547041. The reversal of 232547040 is 40745232.

232547040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 232546995 and 232547013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232547041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839382 + ... + 839658.

It is an arithmetic number, because the mean of its divisors is an integer number (3073707).

Almost surely, 2^232547040 is an apocalyptic number.

232547040 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 232547040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442613808).

232547040 is an abundant number, since it is smaller than the sum of its proper divisors (652680576).

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

232547040 is a wasteful number, since it uses less digits than its factorization.

232547040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 232547040 is about 15249.4931063298. The cubic root of 232547040 is about 614.9459401222.

The spelling of 232547040 in words is "two hundred thirty-two million, five hundred forty-seven thousand, forty".