232405120 has 64 divisors (see below), whose sum is σ = 564796440. Its totient is φ = 91422720.

The previous prime is 232405091. The next prime is 232405127. The reversal of 232405120 is 21504232.

232405120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 45481536 + 186923584 = 6744^2 + 13672^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (232405127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36064 + ... + 42016.

Almost surely, 2^232405120 is an apocalyptic number.

232405120 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 232405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282398220).

232405120 is an abundant number, since it is smaller than the sum of its proper divisors (332391320).

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

232405120 is an equidigital number, since it uses as much as digits as its factorization.

232405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6033 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 232405120 is about 15244.8391267340. The cubic root of 232405120 is about 614.8208172114.

Adding to 232405120 its reverse (21504232), we get a palindrome (253909352).

The spelling of 232405120 in words is "two hundred thirty-two million, four hundred five thousand, one hundred twenty".