4478100480 has 264 divisors, whose sum is σ = 17734421952. Its totient is φ = 1023492096.

The previous prime is 4478100469. The next prime is 4478100493. The reversal of 4478100480 is 840018744.

It is a happy number.

4478100480 is a `hidden beast` number, since 4 + 4 + 78 + 100 + 480 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315619 + ... + 329501.

Almost surely, 2^4478100480 is an apocalyptic number.

4478100480 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 4478100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8867210976).

4478100480 is an abundant number, since it is smaller than the sum of its proper divisors (13256321472).

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

4478100480 is a wasteful number, since it uses less digits than its factorization.

4478100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13921 (or 13900 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4478100480 is about 66918.6108642431. The cubic root of 4478100480 is about 1648.2810969908.

The spelling of 4478100480 in words is "four billion, four hundred seventy-eight million, one hundred thousand, four hundred eighty".