5458000 has 40 divisors (see below), whose sum is σ = 13202280. Its totient is φ = 2182400.

The previous prime is 5457971. The next prime is 5458001. The reversal of 5458000 is 8545.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38416 + 5419584 = 196^2 + 2328^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5458001) 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, 636 + ... + 3364.

It is an arithmetic number, because the mean of its divisors is an integer number (330057).

Almost surely, 2^5458000 is an apocalyptic number.

5458000 is a gapful number since it is divisible by the number (50) 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 5458000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601140).

5458000 is an abundant number, since it is smaller than the sum of its proper divisors (7744280).

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

5458000 is a wasteful number, since it uses less digits than its factorization.

5458000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 5458000 is about 2336.2362894194. The cubic root of 5458000 is about 176.0669511123.

The spelling of 5458000 in words is "five million, four hundred fifty-eight thousand".