318420480 has 160 divisors (see below), whose sum is σ = 1163568384. Its totient is φ = 72769536.

The previous prime is 318420467. The next prime is 318420491. The reversal of 318420480 is 84024813.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 50799 + ... + 56721.

Almost surely, 2^318420480 is an apocalyptic number.

318420480 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 318420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581784192).

318420480 is an abundant number, since it is smaller than the sum of its proper divisors (845147904).

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

318420480 is an equidigital number, since it uses as much as digits as its factorization.

318420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 318420480 is about 17844.3402792034. The cubic root of 318420480 is about 682.8631297613.

The spelling of 318420480 in words is "three hundred eighteen million, four hundred twenty thousand, four hundred eighty".