332831268 has 144 divisors (see below), whose sum is σ = 1088016384. Its totient is φ = 86430240.

The previous prime is 332831263. The next prime is 332831273. The reversal of 332831268 is 862138233.

332831268 is a `hidden beast` number, since 332 + 8 + 312 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (332831263) and next prime (332831273).

It is a super-2 number, since 2×332831268² = 221553305916975648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (332831263) 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, 72621 + ... + 77067.

Almost surely, 2^332831268 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 332831268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544008192).

332831268 is an abundant number, since it is smaller than the sum of its proper divisors (755185116).

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

332831268 is a wasteful number, since it uses less digits than its factorization.

332831268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 4470 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 332831268 is about 18243.6637767747. The cubic root of 332831268 is about 693.0129867696.

It can be divided in two parts, 3328 and 31268, that added together give a square (34596 = 186²).

The spelling of 332831268 in words is "three hundred thirty-two million, eight hundred thirty-one thousand, two hundred sixty-eight".