332005408 has 48 divisors (see below), whose sum is σ = 764406720. Its totient is φ = 138974976.

The previous prime is 332005397. The next prime is 332005423. The reversal of 332005408 is 804500233.

It is a super-2 number, since 2×332005408² = 220455181882492928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7603 + ... + 26866.

It is an arithmetic number, because the mean of its divisors is an integer number (15925140).

Almost surely, 2^332005408 is an apocalyptic number.

It is an amenable number.

332005408 is an abundant number, since it is smaller than the sum of its proper divisors (432401312).

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

332005408 is a wasteful number, since it uses less digits than its factorization.

332005408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34529 (or 34521 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 332005408 is about 18221.0155589638. The cubic root of 332005408 is about 692.4393169727.

The spelling of 332005408 in words is "three hundred thirty-two million, five thousand, four hundred eight".