331964800 has 96 divisors (see below), whose sum is σ = 825471720. Its totient is φ = 131911680.

The previous prime is 331964791. The next prime is 331964813. The reversal of 331964800 is 8469133.

It is a super-2 number, since 2×331964800² = 220401256878080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726172 + ... + 726628.

Almost surely, 2^331964800 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 331964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412735860).

331964800 is an abundant number, since it is smaller than the sum of its proper divisors (493506920).

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

331964800 is a wasteful number, since it uses less digits than its factorization.

331964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 331964800 is about 18219.9012071965. The cubic root of 331964800 is about 692.4110847797.

The spelling of 331964800 in words is "three hundred thirty-one million, nine hundred sixty-four thousand, eight hundred".