4458000 has 80 divisors (see below), whose sum is σ = 14391936. Its totient is φ = 1187200.

The previous prime is 4457987. The next prime is 4458001. The reversal of 4458000 is 8544.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4458001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5629 + ... + 6371.

Almost surely, 2^4458000 is an apocalyptic number.

4458000 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 4458000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195968).

4458000 is an abundant number, since it is smaller than the sum of its proper divisors (9933936).

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

4458000 is a wasteful number, since it uses less digits than its factorization.

4458000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4458000 is about 2111.3976413741. The cubic root of 4458000 is about 164.5811230097.

The spelling of 4458000 in words is "four million, four hundred fifty-eight thousand".