331349200 has 120 divisors (see below), whose sum is σ = 979881728. Its totient is φ = 104855040.

The previous prime is 331349153. The next prime is 331349219. The reversal of 331349200 is 2943133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31849 + ... + 40951.

Almost surely, 2^331349200 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 331349200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489940864).

331349200 is an abundant number, since it is smaller than the sum of its proper divisors (648532528).

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

331349200 is a wasteful number, since it uses less digits than its factorization.

331349200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141 (or 9130 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 331349200 is about 18202.9997527880. Note that the first 3 decimals coincide. The cubic root of 331349200 is about 691.9828144573.

The spelling of 331349200 in words is "three hundred thirty-one million, three hundred forty-nine thousand, two hundred".