330048432 has 240 divisors, whose sum is σ = 1117206272. Its totient is φ = 92378880.

The previous prime is 330048409. The next prime is 330048443. The reversal of 330048432 is 234840033.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 330048396 and 330048405.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1823382 + ... + 1823562.

Almost surely, 2^330048432 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 330048432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558603136).

330048432 is an abundant number, since it is smaller than the sum of its proper divisors (787157840).

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

330048432 is a wasteful number, since it uses less digits than its factorization.

330048432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 330048432 is about 18167.2351226047. The cubic root of 330048432 is about 691.0761279755.

Adding to 330048432 its reverse (234840033), we get a palindrome (564888465).

The spelling of 330048432 in words is "three hundred thirty million, forty-eight thousand, four hundred thirty-two".