331945200 has 360 divisors, whose sum is σ = 1271287680. Its totient is φ = 79833600.

The previous prime is 331945199. The next prime is 331945217. The reversal of 331945200 is 2549133.

331945200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×331945200² = 220375231606080000, which contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1573095 + ... + 1573305.

Almost surely, 2^331945200 is an apocalyptic number.

331945200 is a gapful number since it is divisible by the number (30) 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 331945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635643840).

331945200 is an abundant number, since it is smaller than the sum of its proper divisors (939342480).

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

331945200 is a wasteful number, since it uses less digits than its factorization.

331945200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 331945200 is about 18219.3633258684. The cubic root of 331945200 is about 692.3974573064.

The spelling of 331945200 in words is "three hundred thirty-one million, nine hundred forty-five thousand, two hundred".