4760945280 has 768 divisors, whose sum is σ = 20958013440. Its totient is φ = 968785920.

The previous prime is 4760945279. The next prime is 4760945281. The reversal of 4760945280 is 825490674.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4760945279) and next prime (4760945281).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4760945281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16248814 + ... + 16249106.

It is an arithmetic number, because the mean of its divisors is an integer number (27289080).

Almost surely, 2^4760945280 is an apocalyptic number.

4760945280 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 4760945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10479006720).

4760945280 is an abundant number, since it is smaller than the sum of its proper divisors (16197068160).

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

4760945280 is a wasteful number, since it uses less digits than its factorization.

4760945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 354 counting only the distinct ones).

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

The square root of 4760945280 is about 68999.6034771215. The cubic root of 4760945280 is about 1682.2778624984.

The spelling of 4760945280 in words is "four billion, seven hundred sixty million, nine hundred forty-five thousand, two hundred eighty".