4578456960 has 1280 divisors, whose sum is σ = 21611335680. Its totient is φ = 895795200.

The previous prime is 4578456947. The next prime is 4578456977. The reversal of 4578456960 is 696548754.

4578456960 is a `hidden beast` number, since 4 + 5 + 78 + 4 + 569 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 4578456897 and 4578456906.

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 159 ways as a sum of consecutive naturals, for example, 123742062 + ... + 123742098.

It is an arithmetic number, because the mean of its divisors is an integer number (16883856).

Almost surely, 2^4578456960 is an apocalyptic number.

4578456960 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 4578456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10805667840).

4578456960 is an abundant number, since it is smaller than the sum of its proper divisors (17032878720).

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

4578456960 is a wasteful number, since it uses less digits than its factorization.

4578456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 4578456960 is about 67664.2960504282. The cubic root of 4578456960 is about 1660.5031812768.

The spelling of 4578456960 in words is "four billion, five hundred seventy-eight million, four hundred fifty-six thousand, nine hundred sixty".