4785809280 has 256 divisors, whose sum is σ = 17618549760. Its totient is φ = 1082327040.

The previous prime is 4785809267. The next prime is 4785809293. The reversal of 4785809280 is 829085874.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4785809267) and next prime (4785809293).

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 31 ways as a sum of consecutive naturals, for example, 1301845 + ... + 1305515.

It is an arithmetic number, because the mean of its divisors is an integer number (68822460).

Almost surely, 2^4785809280 is an apocalyptic number.

4785809280 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 4785809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8809274880).

4785809280 is an abundant number, since it is smaller than the sum of its proper divisors (12832740480).

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

4785809280 is a wasteful number, since it uses less digits than its factorization.

4785809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The square root of 4785809280 is about 69179.5437972816. The cubic root of 4785809280 is about 1685.2013401630.

The spelling of 4785809280 in words is "four billion, seven hundred eighty-five million, eight hundred nine thousand, two hundred eighty".