331433984 has 96 divisors (see below), whose sum is σ = 771825600. Its totient is φ = 139345920.

The previous prime is 331433959. The next prime is 331434001. The reversal of 331433984 is 489334133.

It is a super-2 number, since 2×331433984² = 219696971500224512, 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, 874307 + ... + 874685.

It is an arithmetic number, because the mean of its divisors is an integer number (8039850).

Almost surely, 2^331433984 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 331433984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385912800).

331433984 is an abundant number, since it is smaller than the sum of its proper divisors (440391616).

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

331433984 is an equidigital number, since it uses as much as digits as its factorization.

331433984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 449 counting only the distinct ones).

The product of its digits is 93312, while the sum is 38.

The square root of 331433984 is about 18205.3284507586. The cubic root of 331433984 is about 692.0418298080.

The spelling of 331433984 in words is "three hundred thirty-one million, four hundred thirty-three thousand, nine hundred eighty-four".