331241820 has 384 divisors, whose sum is σ = 1252392960. Its totient is φ = 63452160.

The previous prime is 331241819. The next prime is 331241849. The reversal of 331241820 is 28142133.

331241820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×331241820² = 219442286633824800, 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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3215889 + ... + 3215991.

It is an arithmetic number, because the mean of its divisors is an integer number (3261440).

Almost surely, 2^331241820 is an apocalyptic number.

331241820 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 331241820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626196480).

331241820 is an abundant number, since it is smaller than the sum of its proper divisors (921151140).

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

331241820 is a wasteful number, since it uses less digits than its factorization.

331241820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 331241820 is about 18200.0499999313. The cubic root of 331241820 is about 691.9080563243.

Adding to 331241820 its reverse (28142133), we get a palindrome (359383953).

The spelling of 331241820 in words is "three hundred thirty-one million, two hundred forty-one thousand, eight hundred twenty".