4809456000 has 384 divisors, whose sum is σ = 17926140960. Its totient is φ = 1281484800.

The previous prime is 4809455927. The next prime is 4809456059. The reversal of 4809456000 is 6549084.

4809456000 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 45 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×4809456000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3887382 + ... + 3888618.

It is a vampire number, since it can be written as 54000 ⋅ 89064 (with its own digits).

Almost surely, 2^4809456000 is an apocalyptic number.

4809456000 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 4809456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963070480).

4809456000 is an abundant number, since it is smaller than the sum of its proper divisors (13116684960).

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

4809456000 is an equidigital number, since it uses as much as digits as its factorization.

4809456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4809456000 is about 69350.2415280581. The cubic root of 4809456000 is about 1687.9723122372.

The spelling of 4809456000 in words is "four billion, eight hundred nine million, four hundred fifty-six thousand".