4516000 has 48 divisors (see below), whose sum is σ = 11105640. Its totient is φ = 1804800.

The previous prime is 4515997. The next prime is 4516003. The reversal of 4516000 is 6154.

It is an interprime number because it is at equal distance from previous prime (4515997) and next prime (4516003).

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 4048144 = 684^2 + 2012^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4516003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3436 + ... + 4564.

Almost surely, 2^4516000 is an apocalyptic number.

4516000 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 4516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552820).

4516000 is an abundant number, since it is smaller than the sum of its proper divisors (6589640).

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

4516000 is a wasteful number, since it uses less digits than its factorization.

4516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 4516000 is about 2125.0882334623. The cubic root of 4516000 is about 165.2918007597.

The spelling of 4516000 in words is "four million, five hundred sixteen thousand".