331014420 has 144 divisors (see below), whose sum is σ = 1118976768. Its totient is φ = 78516480.

The previous prime is 331014419. The next prime is 331014421. The reversal of 331014420 is 24410133.

331014420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (331014419) and next prime (331014421).

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 = 331014393 and 331014402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331014421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91282 + ... + 94838.

It is an arithmetic number, because the mean of its divisors is an integer number (7770672).

Almost surely, 2^331014420 is an apocalyptic number.

331014420 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 331014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559488384).

331014420 is an abundant number, since it is smaller than the sum of its proper divisors (787962348).

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

331014420 is a wasteful number, since it uses less digits than its factorization.

331014420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 331014420 is about 18193.8016917850. The cubic root of 331014420 is about 691.7496867171.

Adding to 331014420 its reverse (24410133), we get a palindrome (355424553).

The spelling of 331014420 in words is "three hundred thirty-one million, fourteen thousand, four hundred twenty".