331300420 has 72 divisors (see below), whose sum is σ = 809813592. Its totient is φ = 113372160.

The previous prime is 331300381. The next prime is 331300439. The reversal of 331300420 is 24003133.

It can be written as a sum of positive squares in 4 ways, for example, as 110124036 + 221176384 = 10494^2 + 14872^2 .

It is a junction number, because it is equal to n+sod(n) for n = 331300394 and 331300403.

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 23 ways as a sum of consecutive naturals, for example, 37114 + ... + 45166.

It is an arithmetic number, because the mean of its divisors is an integer number (11247411).

Almost surely, 2^331300420 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 331300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404906796).

331300420 is an abundant number, since it is smaller than the sum of its proper divisors (478513172).

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

331300420 is a wasteful number, since it uses less digits than its factorization.

331300420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8101 (or 8088 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 331300420 is about 18201.6598144235. The cubic root of 331300420 is about 691.9488557432.

Adding to 331300420 its reverse (24003133), we get a palindrome (355303553).

The spelling of 331300420 in words is "three hundred thirty-one million, three hundred thousand, four hundred twenty".