332904352 has 48 divisors (see below), whose sum is σ = 717522624. Its totient is φ = 150784000.

The previous prime is 332904331. The next prime is 332904359. The reversal of 332904352 is 253409233.

It is a super-2 number, since 2×332904352² = 221650615161079808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332904359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107952 + ... + 110992.

It is an arithmetic number, because the mean of its divisors is an integer number (14948388).

Almost surely, 2^332904352 is an apocalyptic number.

332904352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332904352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358761312).

332904352 is an abundant number, since it is smaller than the sum of its proper divisors (384618272).

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

332904352 is a wasteful number, since it uses less digits than its factorization.

332904352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 332904352 is about 18245.6666636218. Note that the first 5 decimals coincide. The cubic root of 332904352 is about 693.0637076196.

The spelling of 332904352 in words is "three hundred thirty-two million, nine hundred four thousand, three hundred fifty-two".