331488 has 36 divisors (see below), whose sum is σ = 943488. Its totient is φ = 110400.

The previous prime is 331451. The next prime is 331489. The reversal of 331488 is 884133.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331489) by changing a digit.

331488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 288 + ... + 863.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2³³¹⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

331488 is an abundant number, since it is smaller than the sum of its proper divisors (612000).

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

331488 is a wasteful number, since it uses less digits than its factorization.

331488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1156 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 331488 is about 575.7499457230. The cubic root of 331488 is about 69.2079423318.

It can be divided in two parts, 33 and 1488, that added together give a square (1521 = 39²).

The spelling of 331488 in words is "three hundred thirty-one thousand, four hundred eighty-eight".