4686828480 has 448 divisors, whose sum is σ = 17285573760. Its totient is φ = 1209323520.

The previous prime is 4686828469. The next prime is 4686828539. The reversal of 4686828480 is 848286864.

4686828480 is a `hidden beast` number, since 4 + 6 + 86 + 82 + 8 + 480 = 666.

It is a super-2 number, since 2×4686828480² = 43932722401878220800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25893990 + ... + 25894170.

It is an arithmetic number, because the mean of its divisors is an integer number (38583870).

Almost surely, 2^4686828480 is an apocalyptic number.

4686828480 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 4686828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8642786880).

4686828480 is an abundant number, since it is smaller than the sum of its proper divisors (12598745280).

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

4686828480 is an equidigital number, since it uses as much as digits as its factorization.

4686828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The square root of 4686828480 is about 68460.4154238053. The cubic root of 4686828480 is about 1673.5024535907.

The spelling of 4686828480 in words is "four billion, six hundred eighty-six million, eight hundred twenty-eight thousand, four hundred eighty".