4579485120 has 672 divisors, whose sum is σ = 19493179200. Its totient is φ = 1007935488.

The previous prime is 4579485103. The next prime is 4579485151. The reversal of 4579485120 is 215849754.

4579485120 is a `hidden beast` number, since 4 + 579 + 4 + 8 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12277254 + ... + 12277626.

Almost surely, 2^4579485120 is an apocalyptic number.

4579485120 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 4579485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9746589600).

4579485120 is an abundant number, since it is smaller than the sum of its proper divisors (14913694080).

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

4579485120 is a wasteful number, since it uses less digits than its factorization.

4579485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 4579485120 is about 67671.8931314915. The cubic root of 4579485120 is about 1660.6274687959.

The spelling of 4579485120 in words is "four billion, five hundred seventy-nine million, four hundred eighty-five thousand, one hundred twenty".