318448416 has 96 divisors (see below), whose sum is σ = 982110528. Its totient is φ = 89072640.

The previous prime is 318448397. The next prime is 318448421. The reversal of 318448416 is 614844813.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

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

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, 2130 + ... + 25326.

It is an arithmetic number, because the mean of its divisors is an integer number (10230318).

Almost surely, 2^318448416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318448416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491055264).

318448416 is an abundant number, since it is smaller than the sum of its proper divisors (663662112).

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

318448416 is a wasteful number, since it uses less digits than its factorization.

318448416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23234 (or 23226 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 318448416 is about 17845.1230312374. The cubic root of 318448416 is about 682.8830990658.

The spelling of 318448416 in words is "three hundred eighteen million, four hundred forty-eight thousand, four hundred sixteen".