331280 has 40 divisors (see below), whose sum is σ = 796824. Its totient is φ = 128000.

The previous prime is 331277. The next prime is 331283. The reversal of 331280 is 82133.

It is an interprime number because it is at equal distance from previous prime (331277) and next prime (331283).

It can be written as a sum of positive squares in 4 ways, for example, as 35344 + 295936 = 188^2 + 544^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331280.

It is not an unprimeable number, because it can be changed into a prime (331283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3230 + ... + 3330.

2³³¹²⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398412).

331280 is an abundant number, since it is smaller than the sum of its proper divisors (465544).

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

331280 is a wasteful number, since it uses less digits than its factorization.

331280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 331280 is about 575.5692834056. The cubic root of 331280 is about 69.1934639154.

The spelling of 331280 in words is "three hundred thirty-one thousand, two hundred eighty".