319308480 has 280 divisors, whose sum is σ = 1156581888. Its totient is φ = 83607552.

The previous prime is 319308461. The next prime is 319308487. The reversal of 319308480 is 84803913.

319308480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (319308487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2514177 + ... + 2514303.

Almost surely, 2^319308480 is an apocalyptic number.

319308480 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 319308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578290944).

319308480 is an abundant number, since it is smaller than the sum of its proper divisors (837273408).

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

319308480 is a wasteful number, since it uses less digits than its factorization.

319308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 319308480 is about 17869.2047948419. The cubic root of 319308480 is about 683.4973222655.

The spelling of 319308480 in words is "three hundred nineteen million, three hundred eight thousand, four hundred eighty".