4742945280 has 400 divisors, whose sum is σ = 17245447560. Its totient is φ = 1245708288.

The previous prime is 4742945219. The next prime is 4742945293. The reversal of 4742945280 is 825492474.

It can be written as a sum of positive squares in 4 ways, for example, as 4330692864 + 412252416 = 65808^2 + 20304^2 .

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 39 ways as a sum of consecutive naturals, for example, 18454912 + ... + 18455168.

Almost surely, 2^4742945280 is an apocalyptic number.

4742945280 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 4742945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8622723780).

4742945280 is an abundant number, since it is smaller than the sum of its proper divisors (12502502280).

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

4742945280 is an equidigital number, since it uses as much as digits as its factorization.

4742945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4742945280 is about 68869.0444249084. The cubic root of 4742945280 is about 1680.1550877236.

The spelling of 4742945280 in words is "four billion, seven hundred forty-two million, nine hundred forty-five thousand, two hundred eighty".