332032000 has 96 divisors (see below), whose sum is σ = 829188360. Its totient is φ = 132710400.

The previous prime is 332031983. The next prime is 332032009. The reversal of 332032000 is 230233.

It can be written as a sum of positive squares in 4 ways, for example, as 215737344 + 116294656 = 14688^2 + 10784^2 .

It is a super-2 number, since 2×332032000² = 220490498048000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332032009) 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, 255352 + ... + 256648.

Almost surely, 2^332032000 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 332032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414594180).

332032000 is an abundant number, since it is smaller than the sum of its proper divisors (497156360).

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

332032000 is an equidigital number, since it uses as much as digits as its factorization.

332032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 332032000 is about 18221.7452512102. The cubic root of 332032000 is about 692.4578034735.

Adding to 332032000 its reverse (230233), we get a palindrome (332262233).

The spelling of 332032000 in words is "three hundred thirty-two million, thirty-two thousand".