4458318480 has 960 divisors, whose sum is σ = 20055859200. Its totient is φ = 860590080.

The previous prime is 4458318457. The next prime is 4458318503. The reversal of 4458318480 is 848138544.

It is an interprime number because it is at equal distance from previous prime (4458318457) and next prime (4458318503).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 75564691 + ... + 75564749.

It is an arithmetic number, because the mean of its divisors is an integer number (20891520).

Almost surely, 2^4458318480 is an apocalyptic number.

4458318480 is a gapful number since it is divisible by the number (40) 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 4458318480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10027929600).

4458318480 is an abundant number, since it is smaller than the sum of its proper divisors (15597540720).

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

4458318480 is a wasteful number, since it uses less digits than its factorization.

4458318480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 4458318480 is about 66770.6408535967. The cubic root of 4458318480 is about 1645.8504214744.

The spelling of 4458318480 in words is "four billion, four hundred fifty-eight million, three hundred eighteen thousand, four hundred eighty".