232041264 has 120 divisors (see below), whose sum is σ = 751045680. Its totient is φ = 61189632.

The previous prime is 232041253. The next prime is 232041269. The reversal of 232041264 is 462140232.

232041264 is digitally balanced in base 2, 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 (24).

It is not an unprimeable number, because it can be changed into a prime (232041269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26782 + ... + 34370.

It is an arithmetic number, because the mean of its divisors is an integer number (6258714).

Almost surely, 2^232041264 is an apocalyptic number.

232041264 is a gapful number since it is divisible by the number (24) 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 232041264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375522840).

232041264 is an abundant number, since it is smaller than the sum of its proper divisors (519004416).

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

232041264 is a wasteful number, since it uses less digits than its factorization.

232041264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7627 (or 7614 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 232041264 is about 15232.9007086635. The cubic root of 232041264 is about 614.4997928860.

Adding to 232041264 its reverse (462140232), we get a palindrome (694181496).

The spelling of 232041264 in words is "two hundred thirty-two million, forty-one thousand, two hundred sixty-four".