331420320 has 576 divisors, whose sum is σ = 1462406400. Its totient is φ = 67737600.

The previous prime is 331420303. The next prime is 331420333. The reversal of 331420320 is 23024133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331420293 and 331420302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5433090 + ... + 5433150.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^331420320 is an apocalyptic number.

331420320 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 331420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

331420320 is an abundant number, since it is smaller than the sum of its proper divisors (1130986080).

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

331420320 is a wasteful number, since it uses less digits than its factorization.

331420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 331420320 is about 18204.9531721452. The cubic root of 331420320 is about 692.0323194278.

Adding to 331420320 its reverse (23024133), we get a palindrome (354444453).

The spelling of 331420320 in words is "three hundred thirty-one million, four hundred twenty thousand, three hundred twenty".