331204608 has 288 divisors, whose sum is σ = 1165207680. Its totient is φ = 88473600.

The previous prime is 331204597. The next prime is 331204609. The reversal of 331204608 is 806402133.

It is a happy number.

331204608 is a `hidden beast` number, since 3 + 31 + 20 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (331204609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2193333 + ... + 2193483.

It is an arithmetic number, because the mean of its divisors is an integer number (4045860).

Almost surely, 2^331204608 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 331204608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582603840).

331204608 is an abundant number, since it is smaller than the sum of its proper divisors (834003072).

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

331204608 is a wasteful number, since it uses less digits than its factorization.

331204608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 331204608 is about 18199.0276663343. The cubic root of 331204608 is about 691.8821454990.

The spelling of 331204608 in words is "three hundred thirty-one million, two hundred four thousand, six hundred eight".