319474080 has 144 divisors (see below), whose sum is σ = 1108382184. Its totient is φ = 83773440.

The previous prime is 319474039. The next prime is 319474093. The reversal of 319474080 is 80474913.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71978256 + 247495824 = 8484^2 + 15732^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 86022 + ... + 89658.

Almost surely, 2^319474080 is an apocalyptic number.

319474080 is a gapful number since it is divisible by the number (30) 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 319474080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554191092).

319474080 is an abundant number, since it is smaller than the sum of its proper divisors (788908104).

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

319474080 is a wasteful number, since it uses less digits than its factorization.

319474080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 319474080 is about 17873.8378643200. The cubic root of 319474080 is about 683.6154604738.

The spelling of 319474080 in words is "three hundred nineteen million, four hundred seventy-four thousand, eighty".