4678500 has 48 divisors (see below), whose sum is σ = 13628160. Its totient is φ = 1247200.

The previous prime is 4678481. The next prime is 4678501. The reversal of 4678500 is 58764.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 4³ + 6⁸ + 7⁷ + 8⁷ + 5⁷ + 0 + 0 .

It is not an unprimeable number, because it can be changed into a prime (4678501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60 + ... + 3059.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 2^4678500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4678500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814080).

4678500 is an abundant number, since it is smaller than the sum of its proper divisors (8949660).

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

4678500 is a wasteful number, since it uses less digits than its factorization.

4678500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4678500 is about 2162.9840498718. The cubic root of 4678500 is about 167.2510596254.

The spelling of 4678500 in words is "four million, six hundred seventy-eight thousand, five hundred".