331516920 has 128 divisors (see below), whose sum is σ = 1140272640. Its totient is φ = 75532800.

The previous prime is 331516909. The next prime is 331516957. The reversal of 331516920 is 29615133.

331516920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472570 + ... + 473270.

It is an arithmetic number, because the mean of its divisors is an integer number (8908380).

Almost surely, 2^331516920 is an apocalyptic number.

331516920 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 331516920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570136320).

331516920 is an abundant number, since it is smaller than the sum of its proper divisors (808755720).

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

331516920 is a wasteful number, since it uses less digits than its factorization.

331516920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 331516920 is about 18207.6061029450. The cubic root of 331516920 is about 692.0995490897.

The spelling of 331516920 in words is "three hundred thirty-one million, five hundred sixteen thousand, nine hundred twenty".