331380 has 72 divisors (see below), whose sum is σ = 1153152. Its totient is φ = 75456.

The previous prime is 331369. The next prime is 331391. The reversal of 331380 is 83133.

It is an interprime number because it is at equal distance from previous prime (331369) and next prime (331391).

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

It is a congruent number.

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, 1129 + ... + 1391.

It is an arithmetic number, because the mean of its divisors is an integer number (16016).

2³³¹³⁸⁰ is an apocalyptic number.

331380 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 331380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576576).

331380 is an abundant number, since it is smaller than the sum of its proper divisors (821772).

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

331380 is a wasteful number, since it uses less digits than its factorization.

331380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 331380 is about 575.6561473658. The cubic root of 331380 is about 69.2004254487.

The spelling of 331380 in words is "three hundred thirty-one thousand, three hundred eighty".