319464 has 80 divisors (see below), whose sum is σ = 980100. Its totient is φ = 96768.

The previous prime is 319453. The next prime is 319469. The reversal of 319464 is 464913.

It can be written as a sum of positive squares in 2 ways, for example, as 311364 + 8100 = 558^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 319464.

It is not an unprimeable number, because it can be changed into a prime (319469) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11002 + ... + 11030.

2³¹⁹⁴⁶⁴ is an apocalyptic number.

319464 is a gapful number since it is divisible by the number (34) 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 319464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490050).

319464 is an abundant number, since it is smaller than the sum of its proper divisors (660636).

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

319464 is a wasteful number, since it uses less digits than its factorization.

319464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 51 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 319464 is about 565.2114648519. The cubic root of 319464 is about 68.3608270619.

The spelling of 319464 in words is "three hundred nineteen thousand, four hundred sixty-four".