319400 has 24 divisors (see below), whose sum is σ = 743070. Its totient is φ = 127680.

The previous prime is 319399. The next prime is 319411. The reversal of 319400 is 4913.

319400 = T₁₅₁ + T₁₅₂ + ... + T₁₇₄.

319400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 188356 + 131044 = 434^2 + 362^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 599 + ... + 998.

2³¹⁹⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

319400 is an abundant number, since it is smaller than the sum of its proper divisors (423670).

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

319400 is a wasteful number, since it uses less digits than its factorization.

319400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 319400 is about 565.1548460378. The cubic root of 319400 is about 68.3562617222.

The spelling of 319400 in words is "three hundred nineteen thousand, four hundred".