4458813408 has 144 divisors (see below), whose sum is σ = 14787208800. Its totient is φ = 1273918464.

The previous prime is 4458813389. The next prime is 4458813461. The reversal of 4458813408 is 8043188544.

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

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 23 ways as a sum of consecutive naturals, for example, 76216 + ... + 121352.

It is an arithmetic number, because the mean of its divisors is an integer number (102688950).

Almost surely, 2^4458813408 is an apocalyptic number.

4458813408 is a gapful number since it is divisible by the number (48) 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 4458813408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393604400).

4458813408 is an abundant number, since it is smaller than the sum of its proper divisors (10328395392).

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

4458813408 is a wasteful number, since it uses less digits than its factorization.

4458813408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45174 (or 45149 counting only the distinct ones).

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

The square root of 4458813408 is about 66774.3469305391. The cubic root of 4458813408 is about 1645.9113224112.

The spelling of 4458813408 in words is "four billion, four hundred fifty-eight million, eight hundred thirteen thousand, four hundred eight".