331206480 has 480 divisors, whose sum is σ = 1337057280. Its totient is φ = 72576000.

The previous prime is 331206479. The next prime is 331206481. The reversal of 331206480 is 84602133.

It is a happy number.

331206480 is a `hidden beast` number, since 3 + 3 + 12 + 0 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (331206479) and next prime (331206481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331206481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4664845 + ... + 4664915.

It is an arithmetic number, because the mean of its divisors is an integer number (2785536).

Almost surely, 2^331206480 is an apocalyptic number.

331206480 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 331206480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668528640).

331206480 is an abundant number, since it is smaller than the sum of its proper divisors (1005850800).

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

331206480 is a wasteful number, since it uses less digits than its factorization.

331206480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

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

The square root of 331206480 is about 18199.0790975807. The cubic root of 331206480 is about 691.8834490244.

The spelling of 331206480 in words is "three hundred thirty-one million, two hundred six thousand, four hundred eighty".