232976772 has 162 divisors, whose sum is σ = 729323322. Its totient is φ = 62512128.

The previous prime is 232976761. The next prime is 232976837. The reversal of 232976772 is 277679232.

232976772 is digitally balanced in base 2, 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 3 ways, for example, as 141276996 + 91699776 = 11886^2 + 9576^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 509568 + ... + 510024.

Almost surely, 2^232976772 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 232976772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364661661).

232976772 is an abundant number, since it is smaller than the sum of its proper divisors (496346550).

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

232976772 is a wasteful number, since it uses less digits than its factorization.

232976772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 486 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 232976772 is about 15263.5766450724. The cubic root of 232976772 is about 615.3245005717.

The spelling of 232976772 in words is "two hundred thirty-two million, nine hundred seventy-six thousand, seven hundred seventy-two".