4783484160 has 864 divisors, whose sum is σ = 21249096960. Its totient is φ = 1009262592.

The previous prime is 4783484149. The next prime is 4783484197. The reversal of 4783484160 is 614843874.

4783484160 is a `hidden beast` number, since 4 + 7 + 8 + 3 + 484 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 367960314 + ... + 367960326.

Almost surely, 2^4783484160 is an apocalyptic number.

4783484160 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 4783484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10624548480).

4783484160 is an abundant number, since it is smaller than the sum of its proper divisors (16465612800).

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

4783484160 is an frugal number, since it uses more digits than its factorization.

4783484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4783484160 is about 69162.7367879554. The cubic root of 4783484160 is about 1684.9283852783.

The spelling of 4783484160 in words is "four billion, seven hundred eighty-three million, four hundred eighty-four thousand, one hundred sixty".