4780475280 has 720 divisors, whose sum is σ = 20213349120. Its totient is φ = 1034933760.

The previous prime is 4780475279. The next prime is 4780475309. The reversal of 4780475280 is 825740874.

4780475280 is a `hidden beast` number, since 4 + 7 + 80 + 47 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 143 ways as a sum of consecutive naturals, for example, 101712217 + ... + 101712263.

It is an arithmetic number, because the mean of its divisors is an integer number (28074096).

Almost surely, 2^4780475280 is an apocalyptic number.

4780475280 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 4780475280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10106674560).

4780475280 is an abundant number, since it is smaller than the sum of its proper divisors (15432873840).

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

4780475280 is a wasteful number, since it uses less digits than its factorization.

4780475280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 4780475280 is about 69140.9811906079. The cubic root of 4780475280 is about 1684.5750298228.

The spelling of 4780475280 in words is "four billion, seven hundred eighty million, four hundred seventy-five thousand, two hundred eighty".