4450380480 has 336 divisors, whose sum is σ = 18841053504. Its totient is φ = 938926080.

The previous prime is 4450380457. The next prime is 4450380523. The reversal of 4450380480 is 840830544.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 253590 + ... + 270570.

It is an arithmetic number, because the mean of its divisors is an integer number (56074564).

Almost surely, 2^4450380480 is an apocalyptic number.

4450380480 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 4450380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9420526752).

4450380480 is an abundant number, since it is smaller than the sum of its proper divisors (14390673024).

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

4450380480 is a wasteful number, since it uses less digits than its factorization.

4450380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17024 (or 17011 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4450380480 is about 66711.1720778462. The cubic root of 4450380480 is about 1644.8730333789.

The spelling of 4450380480 in words is "four billion, four hundred fifty million, three hundred eighty thousand, four hundred eighty".