4792625280 has 256 divisors, whose sum is σ = 17044934400. Its totient is φ = 1272692736.

The previous prime is 4792625263. The next prime is 4792625291. The reversal of 4792625280 is 825262974.

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 31 ways as a sum of consecutive naturals, for example, 5822949 + ... + 5823771.

It is an arithmetic number, because the mean of its divisors is an integer number (66581775).

Almost surely, 2^4792625280 is an apocalyptic number.

4792625280 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 4792625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8522467200).

4792625280 is an abundant number, since it is smaller than the sum of its proper divisors (12252309120).

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

4792625280 is a wasteful number, since it uses less digits than its factorization.

4792625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4792625280 is about 69228.7893870751. The cubic root of 4792625280 is about 1686.0009878289. Note that the first 3 decimals are identical.

The spelling of 4792625280 in words is "four billion, seven hundred ninety-two million, six hundred twenty-five thousand, two hundred eighty".