319480 has 48 divisors (see below), whose sum is σ = 841320. Its totient is φ = 108864.

The previous prime is 319477. The next prime is 319483. The reversal of 319480 is 84913.

319480 is nontrivially palindromic in base 3.

319480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (319477) and next prime (319483).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1879 + ... + 2041.

2³¹⁹⁴⁸⁰ 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 319480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420660).

319480 is an abundant number, since it is smaller than the sum of its proper divisors (521840).

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

319480 is a wasteful number, since it uses less digits than its factorization.

319480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 319480 is about 565.2256186692. The cubic root of 319480 is about 68.3619683016.

The spelling of 319480 in words is "three hundred nineteen thousand, four hundred eighty".