4518000 has 120 divisors (see below), whose sum is σ = 15842736. Its totient is φ = 1200000.

The previous prime is 4517999. The next prime is 4518023. The reversal of 4518000 is 8154.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17875 + ... + 18125.

Almost surely, 2^4518000 is an apocalyptic number.

4518000 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 4518000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7921368).

4518000 is an abundant number, since it is smaller than the sum of its proper divisors (11324736).

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

4518000 is a wasteful number, since it uses less digits than its factorization.

4518000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 4518000 is about 2125.5587500702. The cubic root of 4518000 is about 165.3161980738.

It can be divided in two parts, 45 and 18000, that multiplied together give a 4-th power (810000 = 30⁴).

The spelling of 4518000 in words is "four million, five hundred eighteen thousand".