332869824 has 140 divisors (see below), whose sum is σ = 1127814864. Its totient is φ = 95095296.

The previous prime is 332869787. The next prime is 332869829. The reversal of 332869824 is 428968233.

It is a super-2 number, since 2×332869824² = 221604639459581952, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 332869824.

It is not an unprimeable number, because it can be changed into a prime (332869829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31702 + ... + 40874.

Almost surely, 2^332869824 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 332869824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563907432).

332869824 is an abundant number, since it is smaller than the sum of its proper divisors (794945040).

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

332869824 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (332869825) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (9204).

332869824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9204 (or 9185 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 332869824 is about 18244.7204418155. The cubic root of 332869824 is about 693.0397458511.

The spelling of 332869824 in words is "three hundred thirty-two million, eight hundred sixty-nine thousand, eight hundred twenty-four".