4678530480 has 240 divisors, whose sum is σ = 17241771456. Its totient is φ = 1129789440.

The previous prime is 4678530469. The next prime is 4678530497. The reversal of 4678530480 is 840358764.

4678530480 is a `hidden beast` number, since 4 + 6 + 78 + 530 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×4678530480⁴ (a number of 40 digits) contains 4444 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491365 + ... + 500795.

Almost surely, 2^4678530480 is an apocalyptic number.

4678530480 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 4678530480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8620885728).

4678530480 is an abundant number, since it is smaller than the sum of its proper divisors (12563240976).

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

4678530480 is a wasteful number, since it uses less digits than its factorization.

4678530480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9507 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4678530480 is about 68399.7842101859. The cubic root of 4678530480 is about 1672.5142283305.

The spelling of 4678530480 in words is "four billion, six hundred seventy-eight million, five hundred thirty thousand, four hundred eighty".