4859412480 has 480 divisors, whose sum is σ = 18716510400. Its totient is φ = 1196163072.

The previous prime is 4859412451. The next prime is 4859412491. The reversal of 4859412480 is 842149584.

4859412480 is a `hidden beast` number, since 4 + 8 + 594 + 12 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4859412480² = 47227779301559500800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373800954 + ... + 373800966.

It is an arithmetic number, because the mean of its divisors is an integer number (38992730).

Almost surely, 2^4859412480 is an apocalyptic number.

4859412480 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 4859412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9358255200).

4859412480 is an abundant number, since it is smaller than the sum of its proper divisors (13857097920).

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

4859412480 is an frugal number, since it uses more digits than its factorization.

4859412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4859412480 is about 69709.4862984946. The cubic root of 4859412480 is about 1693.7965927552.

The spelling of 4859412480 in words is "four billion, eight hundred fifty-nine million, four hundred twelve thousand, four hundred eighty".