4478640480 has 288 divisors, whose sum is σ = 17035855200. Its totient is φ = 1064779776.

The previous prime is 4478640473. The next prime is 4478640493. The reversal of 4478640480 is 840468744.

4478640480 is a `hidden beast` number, since 44 + 78 + 64 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460306 + ... + 469934.

It is an arithmetic number, because the mean of its divisors is an integer number (59152275).

Almost surely, 2^4478640480 is an apocalyptic number.

4478640480 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 4478640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8517927600).

4478640480 is an abundant number, since it is smaller than the sum of its proper divisors (12557214720).

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

4478640480 is a wasteful number, since it uses less digits than its factorization.

4478640480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9686 (or 9675 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 4478640480 is about 66922.6454946306. The cubic root of 4478640480 is about 1648.3473479992.

The spelling of 4478640480 in words is "four billion, four hundred seventy-eight million, six hundred forty thousand, four hundred eighty".