232078440 has 128 divisors (see below), whose sum is σ = 766972800. Its totient is φ = 55710720.

The previous prime is 232078423. The next prime is 232078459. The reversal of 232078440 is 44870232.

232078440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232078398 and 232078407.

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, 143074 + ... + 144686.

It is an arithmetic number, because the mean of its divisors is an integer number (5991975).

Almost surely, 2^232078440 is an apocalyptic number.

232078440 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 232078440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383486400).

232078440 is an abundant number, since it is smaller than the sum of its proper divisors (534894360).

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

232078440 is a wasteful number, since it uses less digits than its factorization.

232078440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 232078440 is about 15234.1209132657. The cubic root of 232078440 is about 614.5326080615.

The spelling of 232078440 in words is "two hundred thirty-two million, seventy-eight thousand, four hundred forty".