4879284480 has 648 divisors, whose sum is σ = 20275924032. Its totient is φ = 1101828096.

The previous prime is 4879284479. The next prime is 4879284497. The reversal of 4879284480 is 844829784.

4879284480 is a `hidden beast` number, since 4 + 87 + 9 + 2 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58786519 + ... + 58786601.

Almost surely, 2^4879284480 is an apocalyptic number.

4879284480 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 4879284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10137962016).

4879284480 is an abundant number, since it is smaller than the sum of its proper divisors (15396639552).

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

4879284480 is an frugal number, since it uses more digits than its factorization.

4879284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 4879284480 is about 69851.8752790503. The cubic root of 4879284480 is about 1696.1023137517.

The spelling of 4879284480 in words is "four billion, eight hundred seventy-nine million, two hundred eighty-four thousand, four hundred eighty".