331420200 has 96 divisors (see below), whose sum is σ = 1030246560. Its totient is φ = 88134400.

The previous prime is 331420157. The next prime is 331420217. The reversal of 331420200 is 2024133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 331420200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351730 + ... + 352670.

It is an arithmetic number, because the mean of its divisors is an integer number (10731735).

Almost surely, 2^331420200 is an apocalyptic number.

331420200 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 331420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515123280).

331420200 is an abundant number, since it is smaller than the sum of its proper divisors (698826360).

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

331420200 is a wasteful number, since it uses less digits than its factorization.

331420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 331420200 is about 18204.9498763386. The cubic root of 331420200 is about 692.0322359046.

Adding to 331420200 its reverse (2024133), we get a palindrome (333444333).

The spelling of 331420200 in words is "three hundred thirty-one million, four hundred twenty thousand, two hundred".