4488382080 has 384 divisors, whose sum is σ = 19077851520. Its totient is φ = 946888704.

The previous prime is 4488382061. The next prime is 4488382091. The reversal of 4488382080 is 802838844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519879 + ... + 528441.

It is an arithmetic number, because the mean of its divisors is an integer number (49681905).

Almost surely, 2^4488382080 is an apocalyptic number.

4488382080 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 4488382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9538925760).

4488382080 is an abundant number, since it is smaller than the sum of its proper divisors (14589469440).

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

4488382080 is a wasteful number, since it uses less digits than its factorization.

4488382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8608 (or 8593 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 4488382080 is about 66995.3884980153. The cubic root of 4488382080 is about 1649.5416026890.

The spelling of 4488382080 in words is "four billion, four hundred eighty-eight million, three hundred eighty-two thousand, eighty".