4556500 has 48 divisors (see below), whose sum is σ = 10732176. Its totient is φ = 1680000.

The previous prime is 4556491. The next prime is 4556501. The reversal of 4556500 is 56554.

It can be written as a sum of positive squares in 8 ways, for example, as 1444804 + 3111696 = 1202^2 + 1764^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4556501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6150 + ... + 6850.

It is an arithmetic number, because the mean of its divisors is an integer number (223587).

Almost surely, 2^4556500 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 4556500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366088).

4556500 is an abundant number, since it is smaller than the sum of its proper divisors (6175676).

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

4556500 is a wasteful number, since it uses less digits than its factorization.

4556500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 4556500 is about 2134.5959805078. The cubic root of 4556500 is about 165.7844495081.

The spelling of 4556500 in words is "four million, five hundred fifty-six thousand, five hundred".