4258000 has 40 divisors (see below), whose sum is σ = 10300680. Its totient is φ = 1702400.

The previous prime is 4257991. The next prime is 4258019. The reversal of 4258000 is 8524.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 478864 + 3779136 = 692^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 936 + ... + 3064.

It is an arithmetic number, because the mean of its divisors is an integer number (257517).

Almost surely, 2^4258000 is an apocalyptic number.

4258000 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 4258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150340).

4258000 is an abundant number, since it is smaller than the sum of its proper divisors (6042680).

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

4258000 is a wasteful number, since it uses less digits than its factorization.

4258000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4258000 is about 2063.4921855922. The cubic root of 4258000 is about 162.0821612396.

The spelling of 4258000 in words is "four million, two hundred fifty-eight thousand".